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Olegator [25]
3 years ago
12

Makayla invested $630 in an account paying an interest rate of 5.5% compounded continuously. Assuming no deposits or withdrawals

are made, how long would it take, to the nearest year, for the value of the account to reach $1,860?
Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0

Answer:

19.7 or 20 rounded

Step-by-step explanation:

A = $ 1,861.65

A = P + I where

P (principal) = $ 630.00

I (interest) = $ 1,231.65

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / e^rt

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

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The figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
Mila [183]

We know angle x=y(vertically opposite angles)

Since 3 angles lie on a straight line,

y+60+70=180 (linear pair)

y+130=180

y=180-130

y=50 degrees

7 0
3 years ago
A teacher needs 256 lengths of string cut to 40 cm each.if balls of string are 30 cm long how many balls will be needed
Elis [28]

 256 * 40 = 10,240 cm needed

so if the balls are 30 cm each then

10, 240 divided by 30 = 341.3

so the teacher will need 342 balls.

7 0
3 years ago
Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.43cm and a standard deviation
malfutka [58]

Answer:

Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 7.43cm, standard deviation of 0.35cm.

What percentage of the apples have diameters that are between 7.08cm and 7.78cm?

7.43 - 0.35 = 7.08 cm.

7.43 + 0.35 = 7.778 cm.

Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

5 0
3 years ago
If the Volume of a rectangular prism is 720 what is the width
Bess [88]

Answer:

The width of the rectangular prism is 9 cm.

Step-by-step explanation:

From the formula of the volume of a bar V=whl we see that w=\frac{V}{hl}=\frac{720}{8\cdot 10} = 9 cm.

7 0
3 years ago
Solve:<br> 1.3c + 25 - 6,4<br> Question 2:
bulgar [2K]

subtract 6.4 from 25 = 1.3c + 18.6

3 0
3 years ago
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