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3 years ago

8

Solve the given inequality and graph the solution on a number line. -x/2 + 3/2 < 5/2

1 answer:

Ket [755]3 years ago

7 0

Answer:

x > −2

Step-by-step explanation:

You need to isolate the variable. You can do this by first subtracting 3/2 from both sides of the inequality sign.

You will get -x/2 < 2/2.

Next, since x is being divided by -2, you will multiply it by -2 to undo it. Do this to both sides.

Note that when multiplying or dividing by a negative you will flip the inequality sign. '<' becomes '>' and '>' becomes '<'.

You will get x > -2.

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</span>1 inch=6ft <span>
inch^2= x ft^2
(6ft)^2= x ft^2
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3 years ago

Ramon plays a game which his older sister he first gains 5 points then loses 8 points and finally gains 10 points what is his fi

vladimir1956 [14]

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2 years ago

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

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

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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.

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