David invested $7,300 in an account paying an interest rate of 1.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9,070?

Answers

Answer 1

Answer:

13.6

Step-by-step explanation:

A= Pe^ rt

A=9070   P=7300   t= .016

9070 = 7300e^0.016t

divide by 7300

1.24246575342= e^0.016t

ln(1.24246575342)= ln e^0.016t

ln(1.24246575342)= 0.016t

divide by 0.016

t = 13.6


Related Questions

identify the vertex of the function f(x)=2x^2-5

Answers

Answer:

( 0 , − 5 )

Step-by-step explanation:

Is this degree even or odd ? Can you answer a &b

Answers

Answer:

A.Odd B.Negative

Step-by-step explanation:

To what degree is this polynomial function?

A) second
B) third
C) fourth
D) fifth

Answers

The fourth

Don’t be upset if it’s wrong

An average speed of a moving car is 65 km per hour with a standard deviation of 4. What is the probability that the speed is less than 60?
A. -0.1056
B. -1.25
C. 1.25
D. 0.1056​

Answers

D. No se como ayudar yo nomas entro aquí para agarra repuestas

Help please
[tex] \frac{2p + 1}{5p + 6 } = \frac{1}{7} [/tex]
Please and thanks​

Answers

Answer:

[tex]p=-\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2p+1}{5p+6}=\frac{1}{7}[/tex]

Use cross products,

[tex]7(2p+1)=1(5p+6)[/tex]

Distribute,

[tex]14p + 7 = 5p + 6[/tex]

Inverse operations,

[tex]14p+7=5p+6\\-5p\\\\9p + 7 = 6\\-7\\\\9p = -1\\/9\\\\p = -\frac{1}{9}[/tex]

whats the solution to the given system of equations?

-5x+8y=-36
5x+7y=6

Answers

Answer:

x=4, y=-2

Step-by-step explanation:

-5x+8y=-36

5x+7y=6

eqn 1+ eqn 2 gives

15y=-30

divide both sides by 15

y=-2, put in eqn 2

5x+7(-2)=6

5x=20 divide both sides by 5

x=4

I NEED HELP I DONT GET THISSS??

Answers

Answer:

d, the last one

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

I’m not sure tho (-.-”)

Help plssssss!!!!!!!!!!

Answers

Answer:

-4

Step-by-step explanation:

what is b? to the first decimal place please​

Answers

Square root of (17^2 -12^2)
=12.04

Answer:

12.04

Step-by-step explanation:

b = [tex]\sqrt{c^{2} - a^{2} } \\\sqrt{17^{2} - 12^{2} } \\\sqrt{289 - 144} \\\sqrt{145} = 12.04[/tex]

In triangle IJK, J = 800cm, k = 240 cm and angle I=173 degrees. Find the area of triangle IJK, to the nearest square centimeter.

Answers

Answer:

11,700cm²

Step-by-step explanation:

Area of the triangle = 1/2*JK sin<I

Given

J = 800cm

K = 240cm

<I = 173 degrees

Substitute

Area of the triangle = 1/2 * 800 * 240 sin 173

Area of the triangle = 400 * 240sin 173

Area of the triangle = 400 * 29.25

Area of the triangle = 11,699.5

Area of the triangle to the nearest square centimeter is 11,700cm²

Please help!!
Find the value of x to the nearest tenth.

Answers

Answer:is it 1

Step-by-step explanation:

Pedro is solving this number riddle using guess and check.

Fourteen less than my number is eleven. What is my number?



Which statements about solving the riddle are true? Check all that apply.
Less than means subtraction.
Subtract 14 from the unknown number to get 11.
14 – 11 = 3
25 – 14 = 11
The unknown number is 25.

Answers

Answer:

Less than means subtraction

Subtract 14 from the unknown number to get 11

25-14=11

The unknown number is 25

Step-by-step explanation:

Answer:

1 2 4 5

Step-by-step explanation:

Pedro is solving this number riddle using guess and check.

Fourteen less than my number is eleven. What is my number?

Which statements about solving the riddle are true? Check all that apply.

√Less than means subtraction.

√Subtract 14 from the unknown number to get 11.

×14 – 11 = 3

√25 – 14 = 11

√The unknown number is 25.

Find the measure of angle x.

Answers

Answer: 110 degrees

Since the 2 unknown angles in the triangle are equal you do (180-40)/2 to find what they are equal to. (It's equal to 70) Now that you have the answer for the two angles, now you can subtract 70 from 180 which gives you 110 degrees and that's your answer

Hope this helped you!

Answer:

x°+x°+40°=180°

2x°=180°-40°

2x°=140°

x°=140°

2

x°=70°

x°=70°

therefore,

x=180°-70°

x°=110°

Someone ease help need work for evidence also

I'm clueless if u guys know how to do this pls help​

Answers

Answer:

It is between A and D, all the problem is about predictions and how this predictions are tricked.

Step-by-step explanation: Just make some draws of the number and colors of the marbles, and add the white marbles to the red ones, there is 6 of them, they take out of the bag two, so there are still being four, a hundred is all a number (?) so divided 100 % in 4/ there is 25, is D just take D. Sorry man im tired.

question 9: find the radius of the cylinder with a volume of 45m cubed and a height of 9m round your anwser to the nearest tenth.​

Answers

Answer:

1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer

Step-by-step explanation:

Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
The altitudes of triangle DEF intersect at point

Answers

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

[tex]m_1=\frac{7-0}{3-0}=\frac{7}{3}[/tex]

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

[tex]y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)[/tex]

The slope of the line joining E(7,0), and F(3,7). is:

[tex]m_1=\frac{7-0}{3-7}=-\frac{7}{4}[/tex]

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

[tex]y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)[/tex]

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

Which expression is equivalent to ¼ m + ¾ m - ⅜ (m+1)?
⅝ m + ⅜
⅝ m - ⅜
⅜ m + ⅝
⅜ m - ⅝

Answers

Answer:

5/8m+3/8

Step-by-step explanation:

1/4m+3/4m-3/8(m+1)

1/4m+3/4m-3/8m+3/8

5/8m+3/8

Answer:

5/8m + 3/8

Step-by-step explanation:

1/4m + 3/4m - 3/8 (m + 1)

1/4m + 3/4m - 3/8m + 3/8

5/8m + 3/8

I’m having trouble. Help me please!!!

Answers

Hopes this helps:

Answer: No Solution

A camera has a listed price of $876.99 before tax. If the sales tax rate is 6.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cerit, as necessary

Answers

Answer:

$936.18

Byehave fun k bye

please help me please​

Answers

Answer:

.

Step-by-step explanation:

If you need any explanation you can communicate with me

Pl S help pls np helps helpss

Answers

Answer:

2 dollars each I think........

What percent of the time will the point be in the shaded region

Answers

Answer:

29.4%

Step-by-step explanation:

the whole cirlce is 360 degrees which means 100%

to find the percentage of the shaded area, multiply the degrees by 100

⇒ 10.6 x 100 = 10600

then take the product and divide by 360

⇒ 1060 ÷ 360

⇒ 29.44

round to the nearet tenth of a percent

⇒ 29.4

y/3 + 2 = 14 I need help ​

Answers

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

Find the sum of the first 10 terms. 0.5, 0.9, 1.3, 1.7....

Answers

Answer: the 10th term is 4.1

Step-by-step explanation:

The sum is +0.4 each time.

1=0.5

2=0.9

3=1.3

4=1.7

5=2.1

6=2.5

7=2.9

8=3.3

9=3.7

10=4.1

Answer:

The answer is 23

Step-by-step explanation:

0.5, 0.9, 1.3, 1.7, 2.1, 2.5, 2.9, 3.3, 3.7, 4.1

You get the remaining terms by adding 0.4 to the previous number.  Once all of the terms are found, add them up and you get an answer of 23.

Show your work please answer asap!
40 points.

Answers

Answer:

1. Non equivalent, use the distributive property. 5*3=18, 5*4=20, so the equation is now 18y - 20, which is not equal to 15y - 20

2. Same with this one, -4 * -2p = 8p, and  -4 * 4 = -16. Now the equation is 8p - (-16), or 8p + 16. Not equivalent.

3. 3*-7x = -21x, and 3*13 = 39. Now the equation is -21x - 39, not equivalent.

4. -6*-4a = 24a, and -6*8 = -48, the equation is now 24a+ (-48), or 24a - 48

I did my best, and I am confident in the answers, but I apologize if I am wrong.

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

Answer choice one

Step-by-step explanation:

To find the perpendicular line to a given line, just give the reciprocal of the slope and flip the sign.

In this case, you first put the line into the slope-intercept form which would be y=2x-7.

the slope is 2x and the reciprocal is 1/2 and then you flip the sign to be -1/2.

The only one with that slope is answer choice 1.

Can someone explain to me how to do this please.

A line in the standard (x,y) coordinate plane passes through the points (-2,-6) and (5,3). The slope of the line.

A.) is positive
B.) is zero
C.) is negative
D.) is undefined
E.) cannot be determined from the given information

Answers

Answer: A) The slope of the line is positive.

Which equation represents the partial sum of the geometric series?

A. 125 + 25 + 5 + 1
B. 25 + 5 + 1 + one-fifth
C. 1 + one-fifth + StartFraction 1 Over 25 EndFraction + StartFraction 1 Over 125 EndFraction
D. StartFraction 1 Over 125 EndFraction + one-fifth + 5 + 125

Answers

Answer:

d

Step-by-step explanation:

The partial sum of the geometric series is;

⇒ 125 + 25 + 5 + 1

Option A is true.

What is Geometric series?

Geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

Given that;

The geometric series.

∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.

Now, Calculate the partial sum of the geometric series as;

The geometric series = ∑ 125 (1/5)ⁿ⁻¹

Substitute n = 1, 2, 3, 4, we get;

= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹

= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³

= 125 + 25 + 125/25 + 125/125

= 125 + 25 + 5 + 1

Thus, The partial sum of the geometric series is;

⇒ 125 + 25 + 5 + 1

Option A is true.

Learn more about the geometric series visit:

https://brainly.com/question/25243404

#SPJ6

Kim borrows $3000 for two years. Interest is charged at a rate of 10%. How much interest is paid

Answers

10 over 100 multiply by 3000 =300
the answer is 300......

Maria is making a map of Europe. The continent is 1,339 miles by 2,076 miles. If her scale is 1 inch - 50 miles, how large will her map be?

26.78 x 41.52 inches

133.9 x 207.6 inches

669.5 x 1,038 inches

1,339 x 2,076 inches

Answers

Answer: Did you find the answer?

Step-by-step explanation:

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