Hannah signs on a $148,500 mortgage at a 4.5% annual interest rate for 20 years. This results in a monthly payment is
$938.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her
balance?
First let's find the amount of interest she paid in month 1, then find the amount toward reducing the balance.
Round to the nearest cent.

Answers

Answer 1

Answer:

Interest in one month= 556.88

Her balance is reduced by= 381.6

Step-by-step explanation:


Related Questions

Logarithmic Functions have what type of asymptote?
O Horizontal
O Vertical

Answers

Answer:

Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.

One bar of candy A and two bars of candy B
have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.

Answers

I'm not 100% sure, but imma have a go.

Answer:

a = 261; b = 253

Step-by-step explanation:

label candy bar A as a

label candy bar B as b

Make 2 equations.

2b + a = 767          (1)

b + 2a = 775          (2)

Solve for a in (1)

2b + a = 767          (-2b)

a = -2b + 767

Substitute for into (2)

b + 2( -2b + 767 ) = 775     (flip)

2( -2b + 767 ) + b = 775     (solve)

   −4b + 1534 + b = 775     (add b)

          -3b + 1534 = 775     (subtract 1534 from both sides)

                     −3b = −759   (divide both sides by 3)

                         b = 253

Substitute b into (1)

      a = -2b + 767              (substitute)

      a = -2 (253) + 767      (solve)

      a = -506 + 767           (add)        

      a =  261

1/2 + (- 3/4)


1. 1

2. -1

3. -1/4

4. 1/4


Answers

Answer:

3. -1/4

Step-by-step explanation:

Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4

Pls help 10 ptsssssssssssss
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Answers

Answer:

the answer is 16

Step-by-step explanation:

8/2=4

4*4=16

the area of the triangle is 16

HELP WILL GIVE BRAINLIEST

Answers

The answer is b, there is only 1 y intercept so b is not true

Answer:

B

Step-by-step explanation:

So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!

The difference between the mean is _____ times the value of the MAD of each data set.
Fill in the blank.

Answers

the answer is 3.5 times the value of the MAD of each data set

Simply. Rewrite the expression in the form x^n. x^6/x^8

Answers

Answer:

x⁻²

Step-by-step explanation:

[tex]\frac{x^6}{x^8} = \frac{1}{x^2} = x^-^2[/tex]

In the form of xⁿ , the expression is x⁻²

What is an Expression ?

An expression is a mathematical statement which consist of variables , constants and mathematical operators.

The expression given is

[tex]\rm \dfrac{x^6}{x^8}[/tex]

By the exponent rule

[tex]\rm \dfrac{a^m}{a^n} = a^{m-n}[/tex]

so,

[tex]\rm x^{6-8}\\x^{-2}[/tex]

Therefore in the form of xⁿ , the expression is x⁻² .

To know more about Expression

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Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 205.3 inches? Round your answer to four decimal places.

Answers

Answer:

the probability is 0.0750

Step-by-step explanation:

The computation of the probability is shown below;

The mean of x is

= 1.5 ÷ √79

= 0.1688

Now the probability is

= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)

= P(Z < -1.78) + P(Z > 1.78)

= P(Z < -1.78) + 1 - P(Z < 1.78

= 0.0375 + 1 - 0.9625

= 0.0750

hence, the probability is 0.0750

Soup is on sale at six cans for $3.31. The cost of an individual can of soup is $0.63. How
much do you save per can if you buy six cans and get the sale price?

Answers

Answer:

0.47

Step-by-step explanation:

0.63×6=3.78

3.78-3.31=0.47

A store randomly samples 602 shoppers over the course of a year and finds that 144 of them made their visit because of a coupon they'd received in the mail. Construct a 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail. (Round your answers to three decimal places.)

Answers

Answer:

well as a percent its 23.92

Step-by-step explanation:

Apples weighing 30 pounds are placed in a crate that weighs p pounds. Which equation can
be used to find t, the total weight of both the crate and the apples in pounds?
A. t=30p
B. t=p+30
C. t=p-30
D. t=30-p

Answers

Key words: total
Total = add
B

i need helpppppppp ITSSSSSSSSSSSSSSSSSSSSSSS URGETTTTTTTT HELPPPPPPPPPPPPPPPP

Answers

Answer:

what school you do

Step-by-step explanation:

what grade

4m - - - - >4x10=40m^2

6m - - - - >6x10=60m^2

PLEASE HELP FAST!!!!!

Answers

Answer:

120 feet is the answer

120 feet Is what you were looking for

2. The area of the bottom of a shoe box is 28 square inches. If the
height of the shoe box is 3 inches, what is the volume the box

Answers

Answer:

Echo stop DELeting MY Stuff

Step-by-step explanation:

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.

Answers

Answer:
He can buy 3 outfits
Step-by-step explanation:
Total: $640
New Bicycle: $356.89
Reflector(2)=$16.70(each)
Gloves:$27.47
First, we calculate the amount left.
Amount=total - (new bicycle + reflector * 2 + gloves)
Amount=$640 - ($356.89 + $16.70 * 2 + $27.47)
Amount=$640 - ($356.89 + $33.40 + $27.47)
Amount=$640 - $417.76
Amount=$222.24
An outfit costs $74.08 and he plans to buy x outfits.
The inequality is as follows:
$74.08x <_(less than or equal to) $222.24
The amount spent on outfits cannot exceed $222.24.
Divide both sides by $74.08.
$74.08x <_ $222.24
/$74.08 /$74.08
X <_ 3
To stay within budget, Eli can buy exactly 3 outfits on top of everything else.

F(x)=8x sqrt(x-x^2) Find the exact maximum

Answers

First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.

Check the value of f(x) at these endpoints:

f (0) = 0

f (1) = 0

Take the derivative of f(x) :

[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]

[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]

For x ≠ 0, we can eliminate the √x term in the denominator:

[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]

f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :

x (3 - 4x) = 0

x = 0   or   3 - 4x = 0

The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.

Which type of graph(s) should be used for the following data? Choose all that apply. (Check photo)

Answers

Answer:

Histogram is the correct answer

MARK AS BRAINLIEST PLEASE.

The type of graph used is Bar graph.

What is Bar graph?

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

As, per the given data,

the best way to represent the data is Bar graph.

The data is a primary data and for such type of data Bar graph is used,

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anyone caring to help me?? please and thank you it would be very much appreciated <3

Answers

Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

what is 10 / 2 + (2x4) -3 ?

Answers

Answer:

10

Step-by-step explanation:

10 / 2 = 5

(2x4) = 8

(5 + 8) - 3

13 - 3

10

Answer:

10

Step-by-step explanation:

5+8-3=10

Look at the photo for an Easy question and get easy points

Answers

Answer:

90

Step-by-step explanation:

why my answer has to be 20 characters long? :)

Answer:

the answer is 90

Step-by-step explanation:

Hope I helped!

please help and also how did u get ur answer
You have started to work for a company that has a benefits package that includes contributions to a retirement account. You plan to put $160 per month into the account. The company will contribute 20%. The account is setup with an APR of 9.0% for 32 years.

What is the total monthly amount put into the account?

Excel gives the amount in your retirement account as $425,570.83 after 32 years.

How much more is in the account after 32 years than what you put in?

Answers

9514 1404 393

Answer:

  $364,130.83

Step-by-step explanation:

You put in $160 monthly for 32 years, so your contribution is ...

  $160×12×32 = $61,440

The difference between the account balance and your contribution is ...

  $425,570.83 -$61,440 = $364,130.83

There is $364,130.83 more in the account than what you put in.

Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022

Answers

The answer is 10,176 that is the answer

Consider the probability that no less than 95 out of 152 registered voters will vote in the presidential election. Assume the probability that a given registered voter will vote in the presidential election is 61%. Approximate the probability using the normal distribution. Round your answer to four decimal places.

Answers

Answer:

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume the probability that a given registered voter will vote in the presidential election is 61%.

This means that [tex]p = 0.61[/tex]

152 registed voters:

This means that [tex]n = 152[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = 152*0.61 = 92.72[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01[/tex]

Probability that no less than 95 out of 152 registered voters will vote in the presidential election.

This is, using continuity correction, [tex]P(X \geq 95 - 0.5) = P(X \geq 94.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 94.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94.5 - 92.72}{6.01}[/tex]

[tex]Z = 0.3[/tex]

[tex]Z = 0.3[/tex] has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how far apart are they?

Answers

Gravitational force = (gravity x mass1x mass2)/distance^2

6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2

D = sqrt(6.0x10^-10/6.67x10^-11 x81)

D = 3.0 m

The answer is B.3.0 m

Answer:

B

Step-by-step explanation:

3.0 m


Identify the equation that correctly shows the given relationship.

Answers

It’s A he is correct and have a good day

No scams. Show your work. write answer as a percent and round the nearest whole number if needed.​

Answers

Answer:

Step-by-step explanation:

we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]  (where r is the radius, NOT the diameter, easy to confuse)

the radius of the inner circle is 2.5. which  is half of the diameter of 5

inner circle = [tex]\pi[/tex]*(2.5)^2

inner circle =  19.6349...

outer circle = [tex]\pi[/tex]*(10^2)

outer circle = 314.1592...

the ratio is    19.6349... /  314.1592...  = 0.0625

0.0625 = 6.25%

= 6% ( rounded to nearest whole number )

Janice Davidson, single mother of two in her late 20s, manages an in-store boutique at Lacy's Department Store. She earns $60,000 a year before taxes (her gross income) and pays 20% in taxes. Janice's fixed monthly living expenses are $2,400 with another $1,600 in variable/discretionary living expenses. Janice has $13,000 in emergency savings. Janice has an employer-paid disability benefit through the department store where she works. Lacy's provides its employees a long-term disability insurance benefit that pays 60% of an employee's gross salary up to a maximum of $5,000 a month. Would a policy that pays 40% of her gross salary provide enough income to cover Janice's fixed monthly expenses if she became disabled and couldn't work? If yes, how much could she set aside each month after fixed expenses are paid? If no, how much of a shortfall would she have and how could she cover it?​

Answers

Answer:

No, her savings

Step-by-step explanation:

Her monthly income is 5000 (60000/12). She pays $1000 per month (5000x.2) in taxes and has another 2400 in fixed expenses. So her monthly fixed expenses (don’t include 1600 variable) are 3400 (1000+2400). A disability benefit of 40% would pay $2000 per month (5000 x .4). S0 she would be short 1400 per month (2000-3400). She would have to use her $13,000 in savings to make up the difference.

hopefully I interpreted the questions correctly!

a) 40% policy will not cover Janice's fixed monthly expenses.

b) Janice's shortfall is $400.

c) For the shortfall, Janice may resort to emergency funds.

What is a fixed monthly living expense?

A fixed monthly living expense is an expense that does not change from period to period.

Examples of fixed monthly living expenses include:

Mortgage paymentsUtility billsLoan payments.

Data and Calculations:

Annual gross income = $60,000

Annual tax liability = 20% or $12,000 ($60,000 x 20%)

Fixed monthly living expenses = $2,400

Annual fixed living expenses = $28,800 ($2,400 x 12)

Variable discretionary living expenses = $19,200 ($1,600 x 12)

Emergency savings = $13,000

A policy that pays 40% as the disability allowance of gross salary will pay $2,000 ($5,000 x 40%).

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I need some help with this! I will try to give brainliest!!

Answers

Answer:

Left yes

right no

Step-by-step explanation:

that goes for top and bottom

is 2+2=4 or is it 2+2=22

Answers

Answer:

[tex]2+2=4[/tex] obviously...

Pls mark brainliest!

Answer:

well it depends

Step-by-step explanation:

if you wanna be hallarius then 22 but the real mathmatics is 4

PLS GIVE BRAINLIEST

Pls help 10 ptsssssssssssss
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Answers

Answer:

it is actually a very simple question first you add 4+9=13 then you multiply 5 times 13 which gets you the answer of 65

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