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3 years ago

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Mathematics

1 answer:

Mandarinka [93]3 years ago

4 0

$\frac{5}{a + 3} = \frac{3}{a - 2}$

$5(a - 2) = 3(a + 3)$

$5a - 10 = 3a + 9$

$5a - 3a = 9 + 10$

$2a = 19$

$a = \frac{19}{2} = 9 \frac{1}{2}$

$Answer = D.) a = 9 \frac{1}{2}$

$\textbf{Spymore}$

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We are given the following information:

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3 years ago

After four years in college, Josie owes $21000 in student loans. The interest rate on the federal loans is 3% and the rate on th

klasskru [66]

Answer:

$104.27 is the amount at 3% and $20895.73 is the amount at 4.4%

Step-by-step explanation:

We are given that Josie owes $21000 in student loans.

Let x be principal at 3% rate of interest

Time = 1 year

Formula: $A=P(1+r)^t$

$A=x(1+0.03)^1$

A=1.03x

Interest = Amount - Principal

Interest = 1.03x-x=0.03x

So, (21000-x) is the principal at 4.4% rate of interest

Formula: $A=P(1+r)^t$

$A=(21000-x)(1+\frac{4.4}{100})^1$

A=21924-1.044x

Interest = 21924-1.044x-21000-x=924-2.044x

The total interest she owes for one year was $714.00

So, 0.03x+924-2.044x=714

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So, $104.27 is the amount at 3%

The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73

Hence $104.27 is the amount at 3% and $20895.73 is the amount at 4.4%

7 0

2 years ago

Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so

Reil [10]

Answer:

Joel need to practice this week = $\frac{3}{4}$ hour

Step-by-step explanation:

P.S - the exact question is -

As given

Total practice goal of Joel = $4\frac{1}{2}$ hours

He practiced on : Monday - $1\frac{1}{2}$ hours

Wednesday - $1\frac{1}{4}$ hours

Thursday - 1 hour

Let the remaining practice = x hours

⇒ Total practice = $4\frac{1}{2}$ hours

⇒ $1\frac{1}{2}$ + $1\frac{1}{4}$ + 1 + x = $4\frac{1}{2}$

⇒ 1 + $\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}$

⇒3 + x - 4 = $\frac{1}{2} - \frac{1}{2} - \frac{1}{4}$

⇒x - 1 = $-\frac{1}{4}$

⇒x = $-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}$

⇒x = $\frac{3}{4}$ hour

∴ we get

Joel need to practice this week = $\frac{3}{4}$ hour

8 0

2 years ago