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3 years ago

Can you solve these problem and show work for each one of these please.

Mathematics

1 answer:

pychu [463]3 years ago

8 0

Consider this option.
Change the design according to the local requirements.

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$34.98 with 8.2 tax

Paraphin [41]

Answer:

$37.85

Step-by-step explanation:

Here the price is $34.98 and there's an 8.2% tax on that. To obtain the after-tax amount due, multiply $34.98 by (1 + 0.082), or 1.082, obtaining:

1.082($34.98) = $37.85 (rounded to the nearest cent)

7 0

3 years ago

If 47400 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years f

Anni [7]

Answer:

Part A) Annual $\$66,480.95$

Part B) Semiannual $\$66,862.38$

Part C) Monthly $\$67,195.44$

Part D) Daily $\$67,261.54$

Step-by-step explanation:

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

n is the number of times interest is compounded per year

Part A) Annual

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=1$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{1})^{1*5}$

$A=\$47,400(1.07)^{5}$

$A=\$66,480.95$

Part B) Semiannual

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=2$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{2})^{2*5}$

$A=\$47,400(1.035)^{10}$

$A=\$66,862.38$

Part C) Monthly

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=12$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{12})^{12*5}$

$A=\$47,400(1.0058)^{60}$

$A=\$67,195.44$

Part D) Daily

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=365$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{365})^{365*5}$

$A=\$47,400(1.0002)^{1,825}$

$A=\$67,261.54$

8 0

3 years ago

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

dexar [7]

Answer:

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

$7x+y-(5x+y)=30.00-25.50,\\ \\7x+y-5x-y=4.50,\\ \\2x=4.50,\\ \\x=\$2.25.$

Substitute it into the first equation:

$5\cdot 2.25+y=25.50,\\ \\y=25.50-11.25,\\ \\y=\$14.25.$

The labor fee is $14.25, each quart of oil costs $2.25.

6 0

3 years ago

Which is greater 5.97 or 5.946????

Ivenika [448]

Answer:

5.97

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Anyone have Plato edmentum? I need help with algebra 1 semester b plz helpppppp

Marianna [84]

Answer:

what is plato edmentum

Step-by-step explanation:

5 0

3 years ago