James invests a total of $18,000 in two accounts paying 13% and 3% annual interest, respectively. How
much was invested in each account if, after one year, the total interest was $2,040.00.
S
was invested at 13% and
S
was invested at 3%.

Answers

Answer 1

Answer:

$15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.

Step-by-step explanation:

Given that James invests a total of $ 18,000 in two accounts paying 13% and 3% annual interest, respectively, to determine how much was invested in each account if, after one year, the total interest was $ 2,040.00, the following calculation must be performed:

18,000 x 0.13 + 0 x 0.03 = 2340

16,000 x 0.13 + 2,000 x 0.03 = 2140

15,000 x 0.13 + 3,000 x 0.03 = 2040

Thus, $ 15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.


Related Questions

I Need help plz will give brainlyist for the correct answer

Answers

So the first one is 1 because 2+x=3

HELP WITH MATH!! RLLY COULD USE IT

Answers

Answer:

120 square units

Step-by-step explanation:To find the area you do length times hight or l x h. If you want you can also make the triangle and move it to the other side to create a square if thats helps :) but you always do LxH for area :)

Answer:

120

Step-by-step explanation:

Since it's a parallelogram, it has to be A = BH.

Base in this problem: 10

Height in this problem: 12

10x12=120

Solve the exponential equation for x: 7(2x + 2) = 73x.​

Answers

The answer is:

[tex] \frac{14}{59} [/tex]Decimal form is 0.2372 is infinity

Explication:

7(2x +2 )= 73x (Remove the parentheses and sort out 7 and solve for each number that is in the parentheses)

14x+14=73x

14x=73-14

-59x=-14

Both sides are divided by -59 but the -59 / -59 is canceled

Multiply the 7 into the bracket and bring the variables one side to solve for x

A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.
Your pump empties the pool at a rate of 30 gallons/minute.
Part A: Let h represent the number of hours the pool has been draining. Write an
equation that can be used to determine the number of hours it will take to
completely drain the pool.
Part B: Suppose you start draining the pool Monday, May 7 at 8:00 a.m. Would it be
safe to schedule maintenance to begin on Tuesday, May 8 at noon?

Answers

Answer:

A: 1800h-25,000

B: Yes, he would have time.

Step-by-step explanation:

A:

Lets turn 30 gallons/minute into hours so we can make it easier.

18000h-25000

Then plug in h which is hours. To get your answer

B:

From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.

So we plug in 28 for h and get our answer of 25400 gallons/hour

Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning

Answers

Answer:

sdfsefsesfsfsefsefsefsefsfsefesef

Step-by-step explanation:

Yes, because Han’s expression is 8(y-3) which is 8 x y which equals 8y and then 8 x -3 which equals -24. Priya’s is 2(4y-12). 2 x 4y = 8y and 2 x -12 = -24

an angle measures 176 degrees more than the measure of its supplementary angle. what is the measure of each angle

Answers

Answer:

One angle measures 178º, and the other measures 2º.

Step-by-step explanation:

Given that an angle measures 176 degrees more than the measure of its supplementary angle, to determine what is the measure of each angle, the following calculation must be performed, knowing that the sum between two complementary angles gives 180º:

(180 - 176) / 2 = X

4/2 = X

2 = X

180 - 2 = 178

Thus, one angle measures 178º, and the other measures 2º.

A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?

Answers

Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26    =  L * 4 1/3

26  =   L * 13/3

L  = 26 divided by 13/3

L = 26 * 3/13  =  6

answer = 6

Mike did so well with his bike sale, he's going to Discount his helmets 15% off. If the Sale Price is $23.80, find the ORIGINAL PRICE of a helmet.

Answers

Answer:

$3.57

Step-by-step explanation:

Multiply $23.80 by %15

Change %15 to a decimal by multiplying it by 100.

0.15 x $23.80= $3.57

(NO LINKS!!!!!!!!!!!!!!!!!!) 25 POINTS

Answers

Answer:

Definitely not "feels"!

Step-by-step explanation:

I would go with " Always" aka "A"

Answer:

I think C, never irrational

Step-by-step explanation:

I feel you, link scams are horrible.

If this answer helped, please give brainliest! It would help a lot if you gave it :D

given the qintic equation below, solve it to find the values of x. 2x^5_6x^3_4x^2_2x+4 =0​

Answers

9514 1404 393

Answer:

  x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}

Step-by-step explanation:

I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...

  2x^5 -6x^3 -4x^2 -2x +4 = 0

  2(x -2)(x^4 +2x^3 +x^2 -1) = 0

We can recognize that the quartic factor is actually the difference of two squares:

  x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0

So it resolves to two quadratic factors.

  (x^2 +x +1)(x^2 +x -1) = 0

One will have real roots, as shown by the graph. The other will have complex roots.

  x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots

  (x +1/2)^2 = 5/4

  x = -1/2 ± √(5/4) . . . . . . irrational real roots

__

  x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots

  (x +1/2)^2 = -1 +1/4 . . . complete the square

  x = -1/2 ± i√(3/4) . . . . irrational complex roots

__

In summary, the values of x that satisfy the equation are ...

 x = 2

  x = -1/2 ± √(5/4)

  x = -1/2 ± i√(3/4)

I need some help thanks!


-

Answers

l = 2w
perimeter = 2l + 2w = 6w
6w = 54
w = 9

Answer:

9 inches

Step-by-step explanation:

Let's call the width x and length 2x

The perimeter is calculated by adding all side lengths

so x + 2x + x + 2x = 54 inches add like terms

6x = 54 divide both sides by 6

x = 9 inches that's the answer.

Choose all answers that apply.

Answers

Answer:

It should be C

Step-by-step explanation:

You want to cancel out the x variables

use the map for exercises 13 to 15​

Answers

Answer:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

Step-by-step explanation:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound How much change should he receive if he pays with a $20 bill? a)​

Answers

Answer:

$6.20

Step-by-step explanation:

5.75 * 2.40= 13.80

20-13.80= 6.20

$6.20

e the problem ose swims for 20 minutes. He rides his bike for 15 minutes longer than he swims. Then he walks his dog for 30 minutes. How long does it take Jose to swim, bike, and walk his dog? 85 minutes​

Answers

Answer:

65 minutes

Step-by-step explanation:

20+15=35

35+30=65

the answer you need is 65 minutes.

What is the equation of the horizontal asymptote?
A. y = 0
B. x = 0
C. y = x
D. x = 2

Answers

Answer:

horizontal asymptote at y = 0

Step-by-step explanation:

According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.

However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.

It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:

f(x) = (xe)^((-x)^2)

The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.

hope that helps, I really don't know thought. Quite tricky

Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply

Answers

Answer:

I think its the first and the third one

Step-by-step explanation:

lemme know if this helps :)

Answer:

Step-by-step explanation:

Which choice is equivalent to the product below?

Answers

Answer:

equivalent of √6 . ✓3 is option a. 3√2

√6×3 = √18 = √9. √2 = 3√2

A cola container is in the shape of a right cylinder. The radius of the base is 4 centimeters, and the height is 12 centimeters. What is the volume of the container?


A. 225
B. 192
C. 136
D. 216

Answers

136 because it’s cola

Answer:

Step-by-step explanation:

A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.

Answers

Answer:

2.5 mg

Step-by-step explanation:

Given the data:

23 24 23 29 28 26 27 28 26

The sample standard deviation, s

s = sqrt[Σ(x - mean)²] ÷ (n - 1)

Mean, m = ΣX / n

n = 9

Mean = 234 /9 = 26

Using a calculator :

s = 2.236

The margin of error, MOE

MOE = Tcritical * s/sqrt(n)

Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536

MOE = 3.35536 * 2.236/sqrt(9)

MOE = 3.35536 * 2.236/3

MOE = 3.35536 * 0.7453333

MOE = 2.50086

MOE = 2.5

Please help...........

Answers

Answer:

A Linear

B Quadratic

C Quadratic

D Linear

Step-by-step explanation:

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 14 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
_____
The area of the bookmark is_____cm2.

Answers

68.56 or 69 rounded I just multiplied 14cm and 4 for the area of the rectangle and multiplied 4 by pi since the radius was 2 and the exponent was two it equaled four look at the picture if you don’t understand

Answer:

The area of the bookmark is  68.56  cm².

Step-by-step explanation:

Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).

Find the area of the simpler figures.

Rectangle

A = LW

A = 14 · 4

A = 56

The area of the rectangle is 56 cm2.

Circle

A = πr2

A = 3.14(2)2

A = 3.14(4)

A = 12.56

The area of the circle is 12.56 cm2.

Find the area of the bookmark.

A = 56 + 12.56

A = 68.56

The area of the bookmark is 68.56 cm².

A motorcycle is 90 inches long. A car is 75% longer than the motorcycle. How long is the car?

Answers

It’s 22.5 inches longer

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.13 and 2.99

Answers

Answer:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question, we have that:

Mean = 2.56

Standard deviation = 0.43

What percentage of the students have grade point averages that are between 2.13 and 2.99?

2.56 - 0.43 = 2.13

2.56 + 0.43 = 2.99

Within one standard deviation of the mean, so, by the Empirical Rule:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Does the mapping diagram represent a function? Why or why not?
х
y
-6
10
2

Answers

Answer:

use mathwy

Step-by-step explanation:

its better for a. expansion

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 10 bag sample had a mean of 411 grams with a variance of 121. Assume the population is normally distributed. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Answers

Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 403[/tex]

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

[tex]H_{a}: \mu \neq 403[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Value of 403 tested at the null hypothesis:

This means that [tex]\mu = 403[/tex]

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that [tex]n = 10, X = 411, \sigma = \sqrt{121} = 11[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}[/tex]

[tex]z = 2.3[/tex]

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Complete the table following the linear function rule. I don’t know what to do at all.

Answers

Answer:

-2, 1, 4

Step-by-step explanation:

-2, 1, 4..... input your x value into your equation: y= 3(-1) +1= -2

Which is a pair of dependent events?

Answers

Answer:

Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.

Step-by-step explanation:

Answer:

A.

You get a head and a tail in two coin tosses with two different coins.

Step-by-step explanation:

I took the test and got it right!

Can someone please help me?

Answers

I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

SOMEBODY HELP ME ASAP PLSSSS ​

Answers

Answer:

A

Step-by-step explanation:

When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.

3[tex]\sqrt{5}[/tex] is approximately 6.71.

6[tex]\frac{1}{4}[/tex] is 6.25

6.55 is, well 6.55.

From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.

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