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vova2212 [387]
3 years ago
5

Mark invests $6,700 in an online savings account which gives 4.2% simple annual interest. He also invests $6,000 in a savings ac

count at his local bank which gives 6.9% simple annual interest. After fifteen years how much more interest will it have earned, to the nearest dollar?
Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

Answer:

$4,221.00 for online and 6,210.00 for the instore

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year.

Solving our equation:

A = 6700(1 + (0.042 × 15)) = 10921

A = $10,921.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.9%/100 = 0.069 per year.

Solving our equation:

A = 6000(1 + (0.069 × 15)) = 12210

A = $12,210.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.

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A bacteria culture starts with 100 bacteria and doubles in size every half hour.
taurus [48]

Answer:

y=25600

y=100(2)^{2t}

y=252

Step-by-step explanation:

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

y=100(2)^{2x}

where x represents the number of hours

(a) t= 4 hours

Plug in 4 for t  and find out the number of bacteria y

y=100(2)^{2 \cdot 4}\\y=25600

25600 bacteria

y=100(2)^{2t}

convert 40 seconds into hour

40 divide by 60 =2/3

y=100(2)^{2\frac{2}{3} }\\y=100(2)^{\frac{4}{3} }\\\\y=252

The graph is attached below

4 0
3 years ago
Which of the following equations will produce the graph shown below?
melisa1 [442]
The graph is a circle, centered at the origin, with radius=4.

We know that we can write the equation of a circle with radius r and center (a,b) as :

                      (x-a)^2+(y-b)^2=r^2.

Thus, substituting (a, b) with (0, 0) and r with 4, we have:

                      x^2+y^2=16.

The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:

x^2+y^2=16\\\\x^2+y^2-16=0\\\\2(x^2+y^2-16)=0, 

we would still have the same roots.

Thus, the equation of the circle can be written as :

                                    2x^2+2y^2=32.


Answer: B

5 0
3 years ago
Read 2 more answers
What are the positive factors of -72
kvasek [131]
The positive factor of -72 is [72].
4 0
3 years ago
Need help plsssss :;):5:$//&-&!.&/).:$83
Katyanochek1 [597]
The answer is b.


Because you multiply (5•12)
3 0
3 years ago
If a triangle has a height of 12 inches and a base of 5 inches, what is its area
Alina [70]
Area of a Triangle = base * height

Area = 12 inches * 5 inches

Area = 60 inches²
4 0
3 years ago
Read 2 more answers
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