PLZ ANSWER QUICK I NEED IT.

Use the following information to answer the question that follows:

sveticcg [70]

Option E is correct. The amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4

In order to get the amount compounded quarterly, we will use the compounded interest formula as shown:

A = P(1+r/n)^nt where:

A is the amount after 5 years = $6000

r is the rate (in %) = 6% = 0.06

n is the compounding time = 1/4 (quarterly)

t is the time taken (in years) = 5 years

Required

Amount invested quarterly.

First, we need to get the amount initially invested

Substitute the given values into the formula;

6000 = P(1+0.06(4))^{5/4)}

6000 = P(1+0.24)^1.25

6000 = P (1.24)^1.25

6000 = 1.3085P

P = 6000/1.3085

P = $4,585.40

The amount initially deposited will be $4,585.40

The amount deposited quarterly = P/n where n = 4

Amount deposited quarterly = $4,585.40/4

Amount deposited quarterly = $1,146.35

Therefore the amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4.

Learn more here: brainly.com/question/18456266

5 0

3 years ago

Read 2 more answers

Solve for a and b. please help.

Pachacha [2.7K]

Answer:

a= 22.5

b= 37.5

Step-by-step explanation:

In △BCD:

Applying Pythagoras' Theorem,

a² +30²= b²

a² +900= b² -----(1)

In △ABC:

Applying Pythagoras' Theorem,

b² +50²= (40 +a)² -----(2)

Substitute (1) into (2):

a² +900 +50²= 40² +2(40)(a) +a² (expand bracket)

a² +900 +2500= 1600 +80a +a²

a² +3400= a² +80a +1600 (simplify)

a² +3400 -a² -80a -1600= 0 (bring everything to 1 side)

-80a +1800= 0

80a= 1800 (+80 on both sides)

a= 1800 ÷80

a= 22.5

Subst. a= 22.5 into (1):

22.5² +900= b²

b²= 506.25 +900

b²= 1406.25

b= √1406.25 (square root both sides)

b= 37.5 (reject negative value since b is a length)

☆(a +b)²= a² +2ab +b²

3 0

3 years ago

Darnell is 5 times 3 less then Kortez age. Darnell is 40 how old is Kortez?

erik [133]

Kortez is 11.

3 less than 11 is 8

5 times 8 is 40

5 0

4 years ago

why is it important to keep the two sides of an equation balanced when solving? What other properties do we use to rewrite expre

Gennadij [26K]

Answer:

It is important so we don't make the equation untrue

Step-by-step explanation:

If you don't balance the equation the two sides of the equation will not equal each other and make the equation untrue

6 0

3 years ago

Read 2 more answers

Please answer question 4

dangina [55]

They reject if the pie is more than 3.2oz from 28oz.

The scale shows positive number if its more than 28oz.

The scale shows negative number if its less than 28oz.

The scale shows zero if its 28oz.

A . Scale reads -2.8oz which means less than 28oz, So accepted.

B. Scale reads 3.5oz which means 3.5oz more than 28oz. So rejected.

C. Scale reads -3.3oz which means less than 28oz, So accepted.

D. Scale reads 28oz which means more than 28oz, So rejected.

3 0

3 years ago