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3 years ago

Given the equation below, solve for the variable t. p+o−wt=4b

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

P+o-wt=4b
-wt=4b-p-o
t=(4b-p-o)/-w

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Paulo took out a $900 loan using an 12% simple interest rate for a period of 9 months. What the effective annual interest rate f

vekshin1

Answer:

12.68%

Step-by-step explanation:

To calculate effective annual interest rate we need to use the following formula:

$i=(1+\frac{r}{m})^m-1$

Where, 'i' is the effective annual interest rate

'r' is the annual rate of interest

'm' is the frequency of compounding.

When there is continuous compounding the effective annual rate uses the following formula:

$i=e^r-1$

In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:

Plugging r=12%=0.12, we get:

$i=e^{0.12}-1$

$i=1.1274-1=0.1274$

$i=0.1274$

$i=12.74\%$

Therefore, the effective annual interest rate is 12.74%.

5 0

3 years ago

Read 2 more answers

Find the circumference of a circle that has a center at (3,1) and passes through the point (3,4)?

Alex Ar [27]

Graph the two points and you'll see that the radius is 3.
C=2(pi)r
C = 2(3.14)(3)
C = 18.84

7 0

3 years ago

Please help me answer this question

sergejj [24]

Answer:

72km

Step-by-step explanation:

alex : tomos : annabelle = 2 : 3 : 4

if tomos drove 24km

tomos ratio is 3

so 3 --> 24

<u>total ratios --> 2 + 3 + 4 = 9</u>

so total journey is 9 --> 9 * 8 = 72km

6 0

2 years ago

bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

f(3.5) = 25 means that:

$ab^{3.5} = 25$

$a = \frac{25}{b^{3.5}}$

f(8.5) = 14 means that:

$ab^{8.5} = 14$

Hence:

$\frac{25}{b^{3.5}} \times b^{8.5} = 14$

$25b^5 = 14$

$b = \sqrt[5]{\frac{14}{25}}$

$b = 0.89$

$a = \frac{25}{0.89^{3.5}} = 37.59$

Hence, the function is given by:

$y = 37.59(0.89)^x$

Then, when x = 5.5:

$f(5.5) = 37.59(0.89)^{5.5} = 19.8$

More can be learned about exponential functions at brainly.com/question/25537936

7 0

2 years ago

Solve the inequality<br> <img src="https://tex.z-dn.net/?f=2%285c-7%29%5Cgeq%2010%28c-3%29" id="TexFormula1" title="2(5c-7)\geq

alina1380 [7]

1 Remove parentheses.

2(5c−7)≥c−3

2 Expand.
10c−14 ≥ c −3

3 Add 14 to both sides.
10c-14+14≥ c − 3+14

4 Simplify c−3+14 to c+11
10c≥c+11

5 Subtract c from both sides.

10c−c≥11

6 Simplify 10c−c to 9c
9c≥11

7 Divide both sides by 9.
c ≥11/9

5 0

3 years ago