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Shalnov [3]
3 years ago
15

George deposits $3,500 at 3.25% interest compounded monthly. What will his ending balance be after 5 years?

Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:

FV= $4,117.1

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Number of periods= 5*12= 60 months

Interest rate (i)= 0.0325/12= 0.00271

<u>To calculate the Future Value, we need to use the following formula:</u>

FV=PV*(1+i)^n

FV= 3,500*1.00271^60

FV= $4,117.1

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Which triangle is similar to ΔABC if sin(A) = 1/4, cos(A) = √15/4, and tan(A) = 1/√15?
Anit [1.1K]

Answer:

D is the similar triangle

Step-by-step explanation:

A quick solution to this problem is using the hypotenuse.

You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)

Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.

To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.

Now check for both cos and tan

Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4  CHECKS OUT

Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5   CHECKS OUT

Since everything checks out, then answer D is truly correct.

7 0
3 years ago
What is the y intercept of this quadratic? (Picture)
gayaneshka [121]

Answer:

We know that the y intercept is -3 because that is where it intersects! The point for the y intercept is (0, -3)

Step-by-step explanation:

8 0
2 years ago
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HELP! I AM LEGIT DONE<br><br> GET THE VOLUME. ROUND IT TO THE NEAREST TENTH / ITS NOT 1526.8
aev [14]

Answer:

the answer would be 50 because you time 9x6 then you 54 but then you round nearst tenth so 50 is enough to round so it would be 60 and the four cant be rounded up so it would just be zero

Step-by-step explanation:

hope this helps

7 0
3 years ago
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What is the equation of the line that passes through the points (-10,-3) and (0,6)?
Soloha48 [4]

Answer:

9x-10y+60=0

Step-by-step explanation:

slope is,

m = (6-(-3))/(0-(-10))

= 9/10

b = -3-(9/10)×(-10)

= 6

So, the equation of the line is,

y = 9x/10+6

or, 9x-10y+60=0

Answered by GAUTHMATH

6 0
3 years ago
An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
3 years ago
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