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3 years ago

Multiply. The question is in the picture.

Mathematics

1 answer:

Burka [1]3 years ago

7 0

15a^3b^4c^5----> answer B

you can only multiple like terms so

(5x3)= 15

now just add

a+a^2= a^3

b + b^3 = b^4

c^5 + 0= c^5

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Elis [28]

Answer:

$8\frac{1}{2} x - 6\frac{1}{2}$

Step-by-step explanation:

$Simplification (show.all.of.the.following)\\(3x-4\frac{1}{2})-(-5\frac{1}{2}x-2)\\3x-4\frac{1}{2}+5\frac{1}{2}x-2\\(3x+5\frac{1}{2}x)-(4\frac{1}{2}+2)\\(8\frac{1}{2})-(6\frac{1}{2})$

3 0

3 years ago

Walmart has DVDs on sale at 4 for $38. What is the cost for 6 DVDs? Use words and/or numbers to justify your answer.

pickupchik [31]

First find unit price
$38/4 = $9.50 per DVD
6 DVDs * total cost = answer
6 * 9.50 = 57
Solution: 6 DVDs cost $57

5 0

3 years ago

Find the value of x and y

GarryVolchara [31]

Answer:

x = 60

y = 30

Step-by-step explanation:

We know that all triangles' interior angles combined must have a sum of 180.

Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.

Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:

90 - 60 = y

90 - 60 = 30

y = 30

Now that we know the value of y, it's time to find the value of x.

We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).

Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:

180 - (90 + y) = x

180 - (90 + 30) = x

180 - 120 = x

180 - 120 = 60

x = 60

This gives us the answers y = 30 and x = 60

7 0

3 years ago

Use the expression 5x + 2^3 to match the following vocabulary words

sveticcg [70]

A coefficient multiplies a variable. The 5 is a coefficient.
A variable is a letter that stands for a number. The x is a variable.
A base is a number that is raised to an exponent. The 2 is a base.
An exponent is what you raise a base to. The 3 is an exponent.

3 0

3 years ago

100 points pls help

Travka [436]

Answer:

Part A: $12,220

Part B: $12,134.08

Part C: First option

Parte C: Second option.

Explanation:

Part A: 7.4% simple interest

r = 7.4% = 0.074
P = $10,000
t = 3 years

Formula: $A=P+Prt$

Calculations:

$A=$10,000+$10,000(7.4\%)(3)\\\\ A=\$10,000+\$10,000(0.074)(3)\\\\ A=\$12,220$

Part B: 6.5% compounded quaterly

r = 6.5% = 0.065

n = 4

P = $10,000

t = 3 years

Formula:

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

Substitute and compute:

$A=\$10,000\bigg(1+\dfrac{0.065}{4}\bigg)^{(4\times3)}$

$A=\$12,134.08$

Part C: Which investement is better

Over the first three years the first option, 7.4% per year simple interest, is a better investment, because the value of its value is $12,220 - $12,134.0 = $85.94 greater than the second option.

Part D: Recomendation

If George is unsure how long he will keep the money in the account, I would recommend to use the second option, because the compounded interest will overcome the simple interest, since the year 5. You can show that with a table:

Value of A in $:

Year Simplet intertest Compound interest

1 10,000 + 10,000(0.074)(1) 10,000(1 + 0.0650/4)¹

10,740 10,666

2 10,000 + 10,000(0.074)(2) 10,000(1 + 0.065/4)²

11,480 11,376

3 10,000 + 10,000(0.074)(3) 10,000(1 + 0.0650/4)³

12,220 12,314

4 10,000 + 10,000(0.074)(4) 10,000(1 + 0.065/4)⁴

12,960 12,942

5 10,000 + 10,000(0.074)(5) 10,000(1 + 0.065/4)⁵

13,700 13,804

8 0

4 years ago