Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. (2 points)

Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound

Simora [160]

Answer:

$t=2.5\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045$

substitute in the formula above and solve for t

$14,000=12,500(e)^{0.045t}$

Simplify

$14,000/12,500=(e)^{0.045t}$

$1.12=(e)^{0.045t}$

Apply ln both sides

$ln(1.12)=ln[(e)^{0.045t}]$

$ln(1.12)=(0.045t)ln(e)$

Remember that

$ln(e)=1$

so

$ln(1.12)=(0.045t)$

$t=ln(1.12)/(0.045)$

$t=2.5\ years$

3 0

3 years ago

Given that cos (x) = 1/3, find sin (90 - x)

drek231 [11]

$\sin{(A - B)} \equiv \sin{A}\cos{B} - \cos{A}\sin{B} \\\\
\therefore \sin{(90 - x)}\\
 = \sin{(90)}\cos{(x)} - \cos{(90)}\sin{(x)} \\
= (1)\cos{(x)} - (0)\sin{(x)} \\
= \cos{x} - 0 \\
= \cos{x} \\
= \frac{1}{3}
$

3 0

3 years ago

Read 2 more answers

The monthly budget for the front of the house is $9,000. You spent 6% of the budget on fresh flowers. How much did you spend on

adelina 88 [10]

Answer:

$540

Step-by-step explanation:

Since we are paying 6% of the money on flowers we need to multiply our budget by .06. Let x equal the amount of money we payed for flowers.

x=9000*.06

Multiple the two numbers

x=540

We payed $540 for the flowers

8 0

2 years ago

Read 2 more answers

What is the approximate difference in average daily miles between the two weeks?

Ray Of Light [21]

24 would be the answer

5 0

2 years ago

Apply the 68-95-99.7 rule to answer the question. The lifetimes of light bulbs of a particular type are normally distributed wi

Montano1993 [528]

Answer:

95%.

Step-by-step explanation:

We have been given that the lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 7 hours.

We are asked to find the percentage of the bulbs whose lifetimes lie within 2 standard deviations to either side of the mean using empirical rule.

The empirical rule (68-95-99.7) states that approximately 68% of data points lie within 1 standard deviation of mean and 95% of data points lie within two standard deviation of mean. 99.7% of data points lie within three standard deviation of mean.

Therefore, approximately 95% of data points lie within two standard deviation of mean.

7 0

3 years ago