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DedPeter [7]
2 years ago
6

William is going to invest $400 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what i

nterest rate, to the nearest hundredth of a percent, would be required in order for William to end up with $460?
Mathematics
1 answer:
Simora [160]2 years ago
3 0

Answer:

1.75%

Step-by-step explanation:

You might be interested in
The moon has a mass of 7.35x1022, while earth has a mass of 5.97x1024 Kg. What is the combined mass of the moon and earth.
Veseljchak [2.6K]

Answer:

6.0435*10²⁴

Step-by-step explanation:

Moon:  7.35*10²²

Earth: 5.97*10²⁴

7.35*10²² = 0.0735*10²⁴

then:

0.0735*10²⁴ + 5.97*10²⁴ = (0.0735 + 5.97)*10²⁴

=  6.0435 *10²⁴

5 0
3 years ago
How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two
Vitek1552 [10]
From the law of sines, we have:

\displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}, 

where x and y are the sides opposite to angles X and Y, respectively.


Substituting the known values, we have:



\displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}, thus

                           \displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31.


Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.


5 0
3 years ago
Read 2 more answers
HELP NO DECIMALS!!!!!!!! Please I need this done almost due....
nikklg [1K]

Answer: 432cm^3

Step-by-step explanation:

7 0
2 years ago
George borrowed $25,000 for a new car. If George pays simple interest at a rate of
viktelen [127]

Answer:

B 4,500

Step-by-step explanation:

I basically just guessed and if hes paying the interest then its gotta be a bit less then the price of the car I think if it's wrong my apologies

5 0
2 years ago
Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following
sineoko [7]

Answer:

Step-by-step explanation:

Given that  the random variable X is normally distributed, with

mean  = 50 and standard deviation  = 7.

Then we have z= \frac{x-50}{7} is N(0,1)

Using this and normal table we find that

a) P(56

b) When z=0.02

we get

x=50+0.02(7)=50.14

c) 90th percentile z value =1.645

90th percentile of X =50+7(1.645)\\= 50+11.515\\=61.515

4 0
2 years ago
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