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mestny [16]
4 years ago
8

3. The ratio of boys to girls in the 9th grade is 7 to 8. There are 304 girls. How many boys are there?

Mathematics
2 answers:
Fynjy0 [20]4 years ago
8 0
Answer: 266 boys
Because there are 304 girls we do 304/8=38 now we do 38 multiplied by 7 (as that is the ratio for the number of boys) 38*7=266 boys
Hope this helped
Natasha_Volkova [10]4 years ago
3 0
266
Because
304/8 is 38 then multiply it by 7
Equation:

(304/8) x 7 = 266
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George is considering two different investment options. The first offers 7.4% per year simple interest on the initial deposit. T
pentagon [3]

Answer:

Part A) \$12,220.00

Part B) \$12,134.08

Part C) The simple interest investment is better than the compounded  interest investment at the end of three years.

Part D)  see the explanation

Step-by-step explanation:

Part A) Determine the value of the simple-interest investment at the end of three years

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=3\ years\\ P=\$10,000\\r=7.4\%=7.4/100=0.074

substitute in the formula above

A=10,000(1+0.074*3)

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Part B) Determine the value of the compound-interest investment at the end of three 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  

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in this problem we have  

t=3\ years\\ P=\$10,000\\r=6.5\%=6.5/100=0.065\\n=4

substitute in the formula above

A=10,000(1+\frac{0.065}{4})^{4*3}  

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A=\$12,134.08

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Compare the two investment

\$12,134.08 < \$12,220.00

The compounded  interest investment is less than the simple interest investment

therefore

The simple interest investment is better than the compounded  interest investment at the end of three years

Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?

we have

A=10,000(1+0.074t)  ----> simple interest formula as a function of the time t

A=10,000(1.01625)^{4t}   ----> compound interest formula as function of the time t

Look to the attached graph below

The red line represents the simple interest investment

The blue curve represents the compounded interest investment

After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest

After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

therefore

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

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Answer:

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We can check by distributing the "x" with 17 since thats what we got as the value.

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Answer:

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