Simplify the expression (5k^2)^3 5k^6 5k^8 125k^5 125k^6

The Johnsons are buying their first home. They are contemplating two similar loans. The first is a 30-year loan for $150,000 at

OLEGan [10]

Johnson's will pay by the end of the 20-year loan $326,807.25

Johnson's will pay by the end of the 30-year loan $512,109.68

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

The Johnson's are buying their first home. They are contemplating

two similar loans

The first is a 30-year loan for $150,000 at an interest rate of 4.1% APT

compounded monthly

∴ P = $150,000

∴ r = 4.1% = (4.1/100) = 0.041

∴ n = 12 ⇒ compounded monthly

∴ t = 30

- Substitute all of these values in the formula above

∴ $A=150,000(1+\frac{0.041}{12})^{(12)(30)}$

∴ A = $512,109.68

Johnson's will pay by the end of the 30-year loan $512,109.68

The second is a 20-year loan for a $150,000 at an interest rate of 3.9%

APR compounded monthly

∴ P = $150,000

∴ r = 3.9% = (3.9/100) = 0.039

∴ n = 12 ⇒ compounded monthly

∴ t = 20

- Substitute all of these values in the formula above

∴ $A=150,000(1+\frac{0.039}{12})^{(12)(20)}$

∴ A = $326,807.25

Johnson's will pay by the end of the 20-year loan $326,807.25

Learn more:

You can learn more about interest in brainly.com/question/12773544

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7 0

3 years ago

11.1.21 A survey asked, "How many tattoos do you currently have on your body?" Of the males surveyed, responded that they had

hram777 [196]

Complete question :

The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

Answer:

(−0.0085 ; 0.0481)

Step-by-step explanation:

Given that :

n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%

Zα/2 = 1.96 ( Z table)

Confidence interval : (p1 - p2) ± E

E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]

p1 = x1 /n1 =181/1205 = 0.1502

q1 = 1 - p1 = 1 -0.1502 = 0.8498

p2 = x2/n2 = 143/1097 = 0.1304

q2 = 1 - p2 = 1 -0.1304 = 0.8696

E = 1.96 * √(0.0001059 + 0.0001033)

E = 0.0283

p1 - p2 = 0.1502 - 0.1304 = 0.0198

Lower boundary = 0.0198 - 0.0283 = −0.0085

Upper boundary = 0.0198 + 0.0283 = 0.0481

(−0.0085 ; 0.0481)

7 0

3 years ago

On a game show, a contestant randomly chooses a chip from a bag that contains numbers and stripes. The theoretical probability o

Lapatulllka [165]

*I'm going to assume you meant stripes.

Answer:

So in total there are 15 chips in the bag.

9 of them are stripes and 6 are numbers.

Step-by-step explanation:

So there are 9 stripes in the bag.

The probability of getting a stripe is 3/5

This means that for every 5 chips that the contestant pulls out, 3 of them should be stripes. This also means 2 of them are numbers.

So we know that 9 of the chips in the bag are stripes. To find the total number of stripes we should divide 9 by 3/5:

$\frac{9}{\frac{3}{5}} = 9 * \frac{5}{3}$

So we get:

$\frac{45}{3} = 15$

8 0

3 years ago

Vicki would like to estimate the probability of tails coming up fewer than 2 times in 3 coin flips. To do this, she has a comput

a_sh-v [17]

The answer is 6 for a quick answer

6 0

3 years ago

Read 2 more answers

4-(3-5)=? -4 -2 6 12

fredd [130]

The answer is 6.....

3 0

3 years ago

Read 2 more answers