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dlinn [17]
3 years ago
15

Expand the fraction 72/125 .so that it has a denominator of 1000.

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
X/1000=72/125  multiply both sides by 1000

x=72000/125

x=576

So the fraction is 576/1000
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Evaluate the expression.<br><br> (1.5)2(1.5)<br> −2⋅(1.5)4
aleksklad [387]
Is this (1.5)2(1.5) / -2(1.5)4?  or is it (1.5)2(1.5) - 2(1.5)4?

First option:
4.5/-12 = -0.375

Second option
4.5-12 = -7.5
8 0
3 years ago
Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 1
Maksim231197 [3]

Answer:

Bill by $85

Step-by-step explanation:

Bill :  Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given  is then subtracted from the resulting value.

Compounded annually for 6 years at 9 % interest Bill would have $8385.50.

Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.

P is the principal amount, $5000.00.

r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.

t is the time involved, 6year(s) time periods.

So, t is 6year time periods.

To find the simple interest, we multiply 5000 × 11 × 6  = 3300

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 5000.00 + 3300.00 = 8300.00

As you can see Bill has more by $85.

^Check yourself

5 0
3 years ago
Two terms of a geometric sequence are given. Find the first five terms. Please help asap
Zepler [3.9K]

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ r^{6} = 256 → (1)

a₁ r^{9} = 2048 → (2)

Divide (2) by (1)

\frac{a_{1}r^{9}  }{a_{1}r^{6}  } = \frac{2048}{256}

r³ = 8 ( take the cube root of both sides )

r = \sqrt[3]{8} = 2

Substitute r = 2 into (1)

a₁ × 2^{6} = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64

7 0
3 years ago
i put 12 gallons of gas in my car. each gallon was $5.15. there was also 9% tax. what was the total i paid?
wariber [46]
Steps:
5.15*1.09*12 = total

5.6135*12 = total

$67.36= total

Answer: $67.36
4 0
2 years ago
When x=8 and y=20 find y when x=42
ella [17]
When x=42 that means it is 8x6 so that means that the y = 120 becuase its 20x6
answer= y=120
7 0
3 years ago
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