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N76 [4]
3 years ago
7

What is the final amount of $70.00 that is put into a savings account with 16% interest rate for 25 years, if the interest is co

mpounded 4 times per year?
Mathematics
1 answer:
grigory [225]3 years ago
8 0
<span>here is the compound interest formula: A=P(1+<span>rn</span><span>)<span>nt
A= amount at maturity</span></span></span> P = principal amount = $70
r = Annual interest rate in decimal = 16% = 0.16
n = compounding period (compounded how many times a year) = 4
t = years invested = 25
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Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len
nataly862011 [7]

Answer:

The length of the field on the drawing is 55 cm.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field.

Using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on drawing.

Let the length of the field on drawing be x.

As given 0.5 cm is equivalent to 1 m.

Thus, x is equivalent to 110 m.

Now, to get the length of the field on drawing by using cross multiplication method:

\frac{0.5}{1} =\frac{x}{110}

<em>By cross multiplying we get:</em>

⇒ 55=x

⇒ x=55

Therefore, the length of the field on the drawing is 55 cm.

8 0
3 years ago
Mr.varela bought a block of fudge that weighed 3/4 of a pound. He cut the fudge into 2 equal pieces. What was the weight of each
OleMash [197]
To do this, multiply 3/4 by 1/2 and you end up with 3/8 lb. or 0.375 lb.
6 0
2 years ago
The sum of a number and 3 is equal to 5 less than double that number. What is the number?
Ganezh [65]

Answer:

sum of a number 2 plus3 is equal to 5

and less than its double 2×2=4 so the answer is 2

3 0
3 years ago
Read 2 more answers
Jayden bought a bike for
alexandr1967 [171]

Answer:

the total cost of the bike including modifying cost is $24,150

Step-by-step explanation:

⇒ bike cost: $21,000

⇒ 15% of $21,000 is 0.15 x 21,000 = 3,150

⇒ initial + additional cost: $21,000 + $3,150 = $24,150

AND WELCOME TO BRAINLY!!

3 0
1 year ago
Use your understanding of the unit circle and trigonometric functions to find the values requested.
vfiekz [6]

Answer:

a) For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

b) From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

Part b

From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

6 0
2 years ago
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