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Basile [38]
2 years ago
9

Use the formula for simple interest to find the interest rate if a deposit of $1400 earned $490 of interest after 5 years,

Mathematics
1 answer:
mario62 [17]2 years ago
7 0
Given the simple interest formula:

I = P•R•T

where:
I = interest
P = principal
R = interest rate
T = time (in years)

We can isolate R algebraically to find out the interest rate:

I = P•R•T

Divide both sides by P•T:

I / (P•T) = (P•R•T)/(P•T)

The formula for the interest rate is:
R = I / (P•T)

Substitute the given values into this formula to solve for the interest rate (R):

R = I / (P•T)

R = $490/ ($1,400 • 5 years)
R = $490 / $7,000
R = 0.07 or 7%

Therefore, the interest rate is 7%.

Please mark my answers as the Brainliest if you find my explanations and solution helpful :)
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Which expression is equivalent to (4g3h2k4)3
RSB [31]

Answer:

d) 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

      \frac{(4g^{3} h^{2}k^{4} )^{3}  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}    = 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

Step-by-step explanation:

<u><em>Explanation</em></u>

Given expression

           =     \frac{(4g^{3} h^{2}k^{4} )^{3}  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}

By using

        (ab)ⁿ = aⁿbⁿ

         \frac{a^{m} }{a^{n} } = a^{m-n}

   =     \frac{(4)^{3} g^{9} h^{6}k^{12} )  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}

After simplification , we get

  = 8g^{9}g^{-3} h^{6} h^{-2} k^{12}  - (h^{5} k^{3} )^{5}

 = 8g^{9-3}h^{6-2}  k^{12}  - (h^{5} k^{3} )^{5}

= 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

3 0
2 years ago
A cliff diver jumps from a ledge 96 feet above the ocean with an initial upward velocity of 16 feet per second. How long will it
Nimfa-mama [501]
In my opinion it would be about 36 seconds

5 0
3 years ago
Read 2 more answers
A chettah can run 2 2/5 kilometers in 1 1/2 mintues at top speed. What id the top speed of a cheetah in kilometers per hour ?
Snezhnost [94]

Answer:

70 miles per hour and 96 kilometers per hour

Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.

Step-by-step explanation:

Please tell me if its wrong then ill change it ^-^ if i can find the right answer fir you!

but if it is right i hope it helps!

4 0
2 years ago
I'll give brainliest to whoever answers first and is correct!!
Nina [5.8K]

Answer:

(a) y=8x+5

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

y=8x+5

Therefore, the equation y=8x+5 represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

61=8x+5

Let us subtract 5 from both sides of our equation.

61-5=8x+5-5

56=8x

Let us divide both sides of our equation by 8.

\frac{56}{8}=\frac{8x}{8}

7=x

Therefore, Beatrice babysit 7 hours the daughter.

Expression for part c is missing.

6 0
3 years ago
A donut store uses 7.7 kilograms of sugar each hour. How many kilograms of sugar will the store use in 7 hours?
-BARSIC- [3]

Answer:

53.9 Kilograms of sugar in 7 hours

Step-by-step explanation:

7*7.7=53.9

6 0
2 years ago
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