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kondor19780726 [428]
3 years ago
10

You invest $500 in an account with an annual interest rate of 1.1%, compounded continuously. How much money is in the account af

ter 15 years? Round your answer to the nearest whole number.
Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0
The formula is
A=p e^rt
A future value?
P present value 500
E constant
R interest 0.011
T time 15 years
A=500×e^(0.011×15)
A=589.7
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Please help! I will mark Brainliest.
Elanso [62]

Answer:

y = (3/2)x - 5/2

Step-by-step explanation:     5 + 2x

-2x-3y=5, solved for y, is y = ------------- , with a slope of -2/3.  A line

                                                     -3

perpendicular to this one has a slope which is the negative reciprocal of -2/3, that is, +3/2.  Using the slope-intercept formula, we calculate the y-intercept of the line that is perpendicular to the given one and passes through (1/3, -2):  y = mx + b => -2 = (3/2)(1/3) + b, or

-2 = 1/2 + b.  Thus, b must be -2 1/2, or -5/2.

The desired equation is y = (3/2)x - 5/2.

                                                 

7 0
2 years ago
Read 2 more answers
Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.
Sauron [17]

Answer:

If you meant 9^x+4=11, then the answer is approximately 0.866.

If you meant 9^{x+4}=11, then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

9^x+4=11

First step is to get the exponential part by itself. The part that has the variable exponent which is the 9^x term.

To do this we need to subtract 4 on both sides:

9^x=11-4

Simplify:

9^x=7

The equivalent logarithmic form is:

\log_9(7)=x

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing \log_b(a) in your calculator you need to use the change of base formula.

\frac{\log(7)}{\log(9)}=x

So x \approx 0.8856

I don't see this as a choice so maybe you actually meant the following equation:

9^{x+4}=11

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

\log_9(11)=x+4

Now we subtract 4 on both sides:

\log_9(11)-4=x

Again if you don't have the option for computing \log_b(a) in your calculator, you will have to use the change of base formula:

\frac{\log(11)}{\log(9)}-4=x

x \approx -2.909

6 0
3 years ago
The two rectangles below are similar. What is the measurement of the missing side of the rectangle?
r-ruslan [8.4K]
B

You would divide 45 mm/15mm to get 3. Multiply 3 by 27 to get 81 mm.
5 0
3 years ago
Pls help! I need to know if this is right! 50 points!
Sedaia [141]

Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles

Step-by-step explanation:

In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.

4 0
3 years ago
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You are laying an asphalt driveway. How much surface area must you cover if the driveway is 19 feet long and 10.5 feet wide?
Scorpion4ik [409]

Assuming that your driveway is rectangular, just mult. the length and width together to get the area:

(19 ft)(10.5 ft) = 199.5 ft^2

C is the correct answer choice.


7 0
3 years ago
Read 2 more answers
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