How long should any sum of money be left on deposit at 4.5% APR if the value of the
deposit is to increase by 70%?

Answers

Answer 1

Answer:

It takes 12 years

Step-by-step explanation:

Amount(A) = P(1+r(^t

A ==> 170x/100 = x(1+0.045)^t

1.7 = (1.045)^t

Apply ln on both side

ln(1.7) = ln(1.045)^t

ln(1.7) = tln(1.045)

t = ln(1.045)/ln(1.7)

t = 0.53062825106/0.04401688541

t = 12.05510672

t = 12 years

Answer 2

The time it would take any deposit to increase by 70% is 12 years.

Determining the number of year

The formula that would be used to determine the amount of time needed for a deposit to increase by 70% is:

t = In (FV/PV)  / In(1 + r)

Where:

FV / PV = 1.7 r = interest rate t = time

t = In (1.7) / In(1.045)

t = 12 years

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Related Questions

What’s the probability ?

Answers

Answer:

0.096

Step-by-step explanation:

That's the probability.

Answer:

I think no c

if wrong correct me pls

Please help, image below. I'll mark brainliest

Answers

Answer:

there's no picture

Step-by-step explanation:

y = 2x + 4 and y = 3x
+ 2

Answers

2x+4=3x+2
2x=3x-2
-1x=-2
X=2
Hope this helps!

Need help on this one thank u

Answers

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]a + 0.5b - 4 a - b \\ - 3a - \frac{1}{2} b[/tex]

what is the slope of the line that passes through the points (5,9)and (-3,9).

Answers

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, 9)

Point (-3, 9)

Step 2: Identify

x₁ = 5, y = 9

x₂ = -3. y = 9

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m=\frac{9-9}{-3-5}[/tex][Slope] [Fraction] Subtract:                                                                               [tex]\displaystyle m=\frac{0}{-8}[/tex][Slope] [Fraction] Divide:                                                                                  [tex]\displaystyle m=0[/tex]

0.2 is x% of 2

please help me

Answers

Answer:

What is 0.2 percent of 2? = 0.004.

Answer:

x = 10%

Step-by-step explanation:

Simple: 2 divided by 0.2 equals 10.

If you multiply 0.2 by 10 you get 2.

Lemme know if you need me to elaborate!

My kid asked me what was 5y-3+6 i couldnt answer it because this is all new to me we didnt do this when i was younger and i need help on this question so can anyone help me.

Answers

Answer:

Add−3 and 6 .5y+3

Answer: 5y+3

Step-by-step explanation: (5y-3+6)        5y+3

-3+6=3         5y+3

Please help me with this question.

Answers

Answer:

25 cups per hour that should be it

18

Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. Which is the better deal for you? Show your work. ​

Answers

If we take 4/5=80 cent each and when we take 9/25=36 cents a piece so the store is a better deal

The seventh-grade class is putting on a variety show to raise money. It costs $150 to rent the auditorium that they are going to use. If they charge $5 per ticket, how many tickets do they need to see in order to raise at least $750?

Answers

Answer:

180 tickets

Step-by-step explanation:

750 + 150 = 900 they will have to make

900/5 = 180 tickets

To raise at least $750, the seventh-grade class needs to sell a minimum of 180 tickets, priced at $5 each, to cover the fundraising goal and the $150 auditorium rental cost.

Given that,

Seventh-grade class is putting on a variety show to raise money.

The auditorium rental cost is $150.

Each ticket is priced at $5.

The goal is to raise at least $750.

Denote the number of tickets they need to sell as "x".

The revenue generated from ticket sales can be calculated by multiplying the number of tickets sold (x) by the ticket price ($5),

Which gives us 5x dollars.

Now since,

Total revenue from ticket sales - Auditorium rental cost ≥ Fundraising goal

Therefore,

5x - 150 ≥ 750

Add 150 to both sides:

5x ≥ 900

Divide both sides by 5 to solve for x:

x ≥ 180

Since the seventh-grade class cannot sell a fractional number of tickets,

Hence,

They need to sell at least 180 tickets to raise at least $750 and cover the auditorium rental cost.

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Mario needs 18 ounces of cream cheese to make 3 cheesecakes. How many ounces of cream cheese does Mario need if he wants to make 10 cheesecakes?

Answers

Answer:

60 ounces

Step-by-step explanation:

18/3=6

6x10=60

Answer:

60 ounces

Step-by-step explanation:

18 ÷ 3 = 6 6 x 10 = 60  

First you need to find how many ounces are in one cheesecake. 18 ÷ 3 = 6. Then, you multiply 6 by 10, which is 60.

A satellite weighs 150 pounds on Earth. Using
the table above, how much more does this
satellite weigh on Saturn than on Mars?

Answers

where is the table? i need the table to be able to answer your question

What is the answer for 4+4

Answers

The answer is to this question 8

Answer:

4+4=8

Step-by-step explanation:

WILL GIVE BRAINLIEST AND 40 POINTS TO WHOEVER SOLVES QUICKEST

Answers

A full circle = 360 degrees.

Rewrite the percentages as a decimal and multiply by 360.

Nike:

45% = 0.45

0.45 x 360 = 162 degrees

Adidas:

13% = 0.13

360 x 0.13 = 46.8 degrees.

Converse:

15%=0.15

360 x 0.15 = 54 degrees

Puma:

27% = o0.27

360 x 0.27 = 92.2 degrees

Plz help me the answer is not A

Answers

to me it looks like the base is 9 and the height is 7 so it would be 63 which isn’t any of the answers
I’m pretty sure it’s c

linear or non linear​

Answers

Answer:

Linear.

Step-by-step explanation:

The relation here is not linear. You can tell by the graph that it forms when the points are graphed. It is just a cluster of data. Linear graphs usually form straight lines this one does not.

Hope this helps! :))

Answer please I would appreciate it :)

Answers

Answer:

136 units²

Step-by-step explanation:

5x7=35

5x7=35

6x7=42

1/2(4)(6)=12

1/2(4)(6)=12

35+35+42+12+12=136

FAST PLEASE You are saving to buy a meteorite fragment for $125. You begin with $45 and you save $3
each week. The expression 45 + 3w gives the amount of money you save after w weeks. Can
you buy the meteorite after 20 weeks?"

Answers

200 dollars because if you add five you get 50 and you add 150 you get 200

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
O The numerical value of the circumference is less than the numerical value of the area.

Answers

Answer:

The numerical value of the circumference is greater than the numerical value of the area.

Step-by-step explanation:

Diameter = 3 meters

The radius is half of diameter so,

Radius = 3 ÷ 2 = 1.5 meters

Circumference = 2πr (r is the radius)

= 2 x π x 1.5 = 9.42 meters (rounded to 3 significant figures)

Area of a circle = π[tex]r^{2}[/tex]

= π x [tex]1.5^{2}[/tex]

= π x 2.25 = 7.06 meters

The true statement is

The numerical value of the circumference is greater than the numerical value of the area.

What is Area and Circumference?

The space a circle takes up in a two-dimensional plane is known as the area of the circle.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.

we have,

Diameter = 3 m

Radius= D/2 = 3/2 m

So, Area of Circle

= πr²

= 3.14 x 3/2 x 3/2

= 7.065 m²

and, Circumference of circle

= 2πr

= 2 x 3.14 x 3/2

= 9.42 m

Thus, The numerical value of the circumference is greater than the numerical value of the area.

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A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $750 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?

Answers

the answer for your question is...

tbh I have no clue i just want 5 points.

Answer: A salesperson at a jewelry store earns 5​% commission each week. Last​ week, Heidi sold $750 worth of jewelry. How much did she make in​ commission? How much did the jewelry store make from her ​sales?

Step-by-step explanation: sorry I want five points now

Estimate √40 to the nearest tenth. *

A. 6.9
B. 6.3
C. 7.1
D. 5.7

Answers

B. 6.3
You can type root 40 into your calculator and will get 6.32455532. To round to the tenth is taking the first number after the decimal (3) and seeing of the number to the right of it (2) is less than 5 or greater than or equal to 5. 2 is less than 5 so 3 stays the same.

What is the mean of the following data set?
82, 100, 92, 66, 72, 96, 70, 88.

Answers

Answer:

83.25

Step-by-step explanation:

add all the numbers and divide by 8. 666/8 = 83.25

Answer:

83.25

Step-by-step explanation:

Mean = sum of all terms / number of terms

82+100+92+66+72+96+70+88 = 666

666 / 8 = 83.25

Will mark brainliest please help me Explain step by step how to find the equation of a line that goes through the points ( 7, 2 ), and ( 0, 4 ). Essay

Answers

Answer:

Step-by-step explanation:

Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.

formula of a linear equasion:

y=mx+b

m=slope of the formula

to find m:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

plug in: [tex]\frac{4-2}{0-7} =\frac{2}{-7}[/tex]

m= [tex]-\frac{2}{7}[/tex]

y=[tex]-\frac{2}{7}[/tex]x+b

b is the y intercept

plug in to find b:

[tex]2=7(-\frac{2}{7} )+b\\2=-2+b\\4=b[/tex]

∴ [tex]y=-\frac{2}{7} x+4[/tex]

At a tea shop, a package of vanilla tea weighs 1 ounce and costs $2. Cinnamon tea is priced at 2 ounces per dollar. Use rates to show which tea is more expensive per ounce. Include a model in your response.

Answers

The vanilla tea is more expensive

Please help me?!!!!!!!!!

Answers

Step-by-step explanation:

blue=60%

yellow= 30%

red=10%

hope it helps

please mark me brainliest

Given h(x) = -5x + 3, find h(5).

Answers

Answer:

h(5) = -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = -5x + 3

h(5) is x = 5

Step 2: Evaluate

Substitute in x [Function]:                                                                                h(5) = -5(5) + 3Multiply:                                                                                                             h(5) = -25 + 3Add:                                                                                                                   h(5) = -22

Order the set of numbers from least to greatest?

Answers

Answer:

B

Step-by-step explanation:

2.71 is greater than 5/2 so it's not A

5/2 is greater than the square root of 5 which is roughly 2.3 so it's not C

2 3/4 is greater than 2.71 so it's not D

i agree, the answer is B.

Decide whether each simulation fits the situation it is paired with.

Liza wants to give her brother a backpack
as a gift.She flips a coin to decide whether
to buy it online or at a local store.

Stephen needs to decide which country
to write about for his term paper: France,
Spain, or Germany. He uses a random
number generator with the numbers
1 through 5. The numbers 1 and 3 stand
for France, 2 and 4 for Spain, and 5 for
Germany.

Lloyd can't decide which cabinet hardware
to use in his kitchen: brass, nickel,
or chrome. He makes his choice by
randomly picking a card from
three cards—one for brass, one
for nickel, and one for chrome.

Jessica is taking part in a fruit-carving
competition. To decide whether to carve
apples, pumpkins, or watermelons, she
spins a spinner with four equal sections
—one for apples, one for pumpkins,
and two for watermelons.

simulation fits the situation or simulation does not fit the situation

Answers

Answer:

Simulations That Fits Situation- Liza Wants To Give Her Brother A Backpack/ Lloyd Cant Decide Which Cabinet Hardware.

Simulations That Dont Fit The Situation- Stephen Needs To Decide Which Country/Jessica Is Taking Part In A Fruit Carving  Competition.

Liza's simulation fits the situation since a coin flip is a common way to randomly choose between two options.

What is simulation?

A simulation in statistics is a method of simulating real-world events or processes using a computer program or physical apparatus.

Liza's simulation fits the situation because a coin flip is a common way to choose between two options at random.

Stephen's simulation fits the situation because he uses a random number generator with different numbers assigned to each country, which is a fair way to choose between three options at random.

Jessica's simulation does not fit the situation because the spinner has two sections for watermelons, increasing the likelihood of selecting watermelons over apples or pumpkins.

Therefore, spinner is not a fair way to randomly choose between three options in this situation. A better simulation would be to assign equal probabilities to each option.

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A line contains the points (4, 2) and (0, -1). What is the equation of the line?

Answers

Answer:

4x3y

Step-by-step             hmmm ask your teacher

Which sum is equal to the expression - 5x3 + 2x2 + 9x+2/
(x²+ 2)²

Answers

Answer:

Option C

Step-by-step explanation:

Given expression is [tex]\frac{-5x^3+2x^2+9x+2}{(x^2+2)^2}[/tex]

Option A

[tex]\frac{A}{x^2+2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]

= [tex]\frac{A(x^2+2)}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]

= [tex]\frac{Ax^2+2A+Bx+C}{(x^2+2)^2}[/tex]

Numerator is a quadratic polynomial, while the expression has the numerator as a cubic .

Therefore, both the expressions are not equivalent.

Option B

[tex]\frac{A}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]

= [tex]\frac{A+Bx+C}{(x^2+2)^2}[/tex]

Here, numerator of the expression is a linear polynomial which is not equal to given expression.

Therefore, both the expressions are not equivalent.

Option C

[tex]\frac{Ax+B}{(x^2+2)}+ \frac{Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{(Ax+B)(x^2+2)}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{Ax^3+Bx^2+2Ax+2B+Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{Ax^3+Bx^2+x(2A+C)+D}{(x^2+2)^2}[/tex]

Here, numerator is a cubic polynomial.

Therefore, both the expressions are equivalent.

Option D

[tex]\frac{Ax+B}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{x(A+C)+(B+D)}{(x^2+2)^2}[/tex]

Numerator is a linear polynomial.

Therefore, sum is not equal to the given expression.

Option C will be the answer.

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