2 years ago

Use the distributive property to simplify 0.75(3.5a-6b)

Mathematics

1 answer:

Studentka2010 [4]2 years ago

3 0

(0.75 * 3.5a) + (0.75 * -6b) = 2.63a -4.5b

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Tasha invests $5,000 annually at 6% and an additional $5,000 annually at 8%. Thomas invests $10,000 annually at 7%. Which statem

Setler79 [48]

Answer:

B is correct.

Step-by-step explanation:

Compound Interest Formula:

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

Tasha invests in two ways

Case 1:

Principal P=$5,000
Rate of Interest r=0.06
Time t=t
n=1

$V(t)=5000(1+0.06)^t$

$V(t)=5000(1.06)^t$

Case 2:

Principal P=$5,000
Rate of Interest r=0.08
Time t=1
n=1

$V(t)=5000(1+0.08)^t$

$V(t)=5000(1.08)^t$

Total amount yield by Tasha = $5000[(1.06)^t+(1.08)^t]$

Thomas Investment

Principal P=$10,000
Rate r= 0.07
t=t
n=1

Total amount yield by Thomas = $10000(1.07)^t$

Now we make table for Tasha and Thomas different value of t

t Tasha Thomas

1 $10,700 $10,700

2 $11,450 $11,449

3 $12,254 $12,250

4 $13,115 $13,108

In table we can see Tasha investment will yield more from Thomas.

Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

8 0

2 years ago

Read 2 more answers

a fan is marked up 40% on the original price. The original was $20. What is the new price of the fan before sales tax?

Iteru [2.4K]

100/40×20.
100/40=2•5
2•5×20=50
the answer is 50

6 0

3 years ago

an online bookstore sells 0.8% of its books to customers. what fraction of the books are sold to customers

Orlov [11]

Answer:

4/5

Step-by-step explanation:

.8% is equal to 80%

80% of 100 is 80/100

simplified the answer is 4/5

7 0

2 years ago

Divide x5+15x4+54x3−25x2−75x−34 by x+8.

Wittaler [7]

we are given

$x^5+15x^4+54x^3-25x^2-75x-34$

divide by x+8

we can use long division

so, we will get

$Quotient=x^4+7x^3-2x^2 -9x-3$

$Remainder=-10$

we can also write it as

$\frac{x^5+15x^4+54x^3-25x^2-75x-34 }{x+8}=(x^4+7x^3-2x^2 -9x-3)-\frac{10}{x+8}$ ..............Answer

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3 years ago

A 100 - sqaure grid has 70 shaded sqaures . Explain how you could express this model as a fraction , percent , and decimal.

tensa zangetsu [6.8K]

Answer:

Would it be 70/100 as a fraction and 0.7 as a decimal and 70% as a percentage?

Step-by-step explanation:

If you have 100 squares and 70 of those squares are shaded, your answer would 70/100.

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3 years ago