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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.

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

3 years ago

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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:

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

$x \approx -2.909$

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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.

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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.

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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:

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C is the correct answer choice.

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3 years ago

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