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3 years ago

3 equivalents for 18:4

Mathematics

1 answer:

dalvyx [7]3 years ago

5 0

9:2, 36:8, and 54:12
I hope this helped :)

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1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

3 years ago

Determine the slope of the line that is perpendicular to the line y = -7x - 12.

maria [59]

Answer:

the slope that is perpendicular to line y=-7x-12 is 1/7

1/7 is the perpendicular slope

Step-by-step explanation:

5 0

3 years ago

Which Property Is Shown? k*(7-9)=(k*7)-(k*9) a. Commutative Property of Multiplication b. Multiplicative Property c. Multiplicat

Gnesinka [82]

D. Distributive Property

The distributive property allow you to multiply a sum by multiplying each addend separately.

6 0

3 years ago

Michael has 5 boxes. There are 5kg of apples in each box. When empty, a box weighs 5-2 kg.

Sphinxa [80]

As I understand from the given above, each box when empty weighs 5-2 kg or 3 kg. To determine the total weight of Michael's boxes when empty, we just have to multiply 3 kg by 5. This gives us an answer of 15 kg. Thus, the total mass of Michael's boxes is 15 kg.

3 0

3 years ago

Help me !!! ASAP!!!!

natima [27]

X intercept is (14/9,0)
Y intercept is (0,-2)

4 0

2 years ago

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