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2 years ago

If Sherry saves one-eighth of her paycheck and places it in a savings account, and each paycheck is $450,

Mathematics

1 answer:

dybincka [34]2 years ago

7 0

Answer:

$56.25

Step-by-step explanation:

450/8=56.25

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1. Which statement about this triangular prism is NOT true?

Arte-miy333 [17]

I believe it’s d) if not please comment the answer

5 0

3 years ago

1. A mortgage of $200,000 requires payments of $1395.40 per month at 5.7%

sashaice [31]

Answer:

a) How long will it take to repay the loan?

20 years

b) What amount of interest does the purchase pay?

$134,896

Step-by-step explanation:

a) How long will it take to repay the loan?

In the above question, they are asking you for the Loan duration

The Formula for Loan duration(T) =

ln (- m/(r÷n) × C - m)/In (1 + r/n)

Where:

m = monthly payments = $1395.40

C = Amount of mortgage =$200,000

r = Interest rate = 5.7% = 0.57

n = compounded quarterly = 4

T = ln (- 1395.40/(0.57÷4) × 200,000 - 1395.40)/In (1 + 0.57/4)

T = 20 years.

Therefore, it will take 20 years to repay the Loan.

b) What amount of interest does the purchase pay?

The total number of payments =

Loan duration × Number of months

Number of months = 12 months( because it is monthly payment)

Loan duration = 20 years

Total number of payments = 240 payments.

In the question, we are given the amount paid monthly payment as

$1,395.40

Total amount paid = Monthly payments × Total number of payments

= $1,395.40 × 240

= $334,896

The amount of Interest the purchase pay = $334,896 - $200,000

= $134,896

7 0

3 years ago

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x^2h

tiny-mole [99]

Option 4 is correct i.e. The volume of the box is increasing at a rate of 192 cm^3/min.

Given : Volume of the rectangular box = x²h
where x is edge and h is height.
The edge and the height are varying with time, therefore, we write,x = x(t)
h = h(t)
dh/dt = -3 and we shall calculate when x = 4, dx/dt = 2 and when h=15
V = x²h dV/dt = (2x × dx/dt × h) + (x² × dh/dt) dV/dt = 2×4×2×15 + (4)^2 ×(-3) dV/dt = 240 - 48
dV/dt = 192
Because dV/dt is positive, hence the volume is increasing

3 0

2 years ago

An arborist wants to prune an oak tree that has grown too tall. The arborist takes a 15-foot ladder and places it on a horizonta

SCORPION-xisa [38]

See the attached picture to better understand the problem

we know that
in the right triangle ABC
cos 70=adjacent side angle 70/hypotenuse
adjacent side angle 70=BC----> distance between the ladder and the tree trunk
hypotenuse=AC------> 15 ft

cos 70=BC/AC-------> solve for BC
BC=AC*cos 70------> BC=15*cos 70-----> BC=5.13 ft

the answer is
the distance between the ladder and the tree is 5.13 ft

8 0

3 years ago

What is the value of 0.48

Minchanka [31]

Answer: 48% 48/100

depends on what you are asking for

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers