Ask question

Ask question

All categories

Misha Larkins [42]

3 years ago

11

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%

. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

1 answer:

pshichka [43]3 years ago

8 0

Answer:254 days

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

You might be interested in

Write and solve an equation to find the value of X

Mumz [18]

Angles on a straight line add up to 180 degrees so

45 + 3x = 180
Subtract 45 from both sides to remove the 45 on the left

3x = 135
Then divide both sides by 3
x = 45

Answer is X = 45

8 0

3 years ago

Read 2 more answers

The radius of circle C is 6 units and the measure of central angle ACB is I radians. What is the approximate area of the entire

VARVARA [1.3K]

Answer:

Step-by-step explanation:

see attachment

3 0

3 years ago

Read 2 more answers

Lua is creating a rectangular prism the base of her prism is shown below she plans to have a height of 7 cubes

tresset_1 [31]

Answer:

63

Step-by-step explanation:

hhehehehhehehehehh hope this helps

7 0

3 years ago

Y''+y'+y=0, y(0)=1, y'(0)=0

mars1129 [50]

Answer:

$y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+\frac{1}{\sqrt{3}}\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )$

Step-by-step explanation:

A second order linear , homogeneous ordinary differential equation has form $ay''+by'+cy=0$ .

Given: $y''+y'+y=0$

Let $y=e^{rt}$ be it's solution.

We get,

$\left ( r^2+r+1 \right )e^{rt}=0$

Since $e^{rt}\neq 0$ , $r^2+r+1=0$

{ we know that for equation $ax^2+bx+c=0$ , roots are of form $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ }

We get,

$y=\frac{-1\pm \sqrt{1^2-4}}{2}=\frac{-1\pm \sqrt{3}i}{2}$

For two complex roots $r_1=\alpha +i\beta \,,\,r_2=\alpha -i\beta$ , the general solution is of form $y=e^{\alpha t}\left ( c_1\cos \beta t+c_2\sin \beta t \right )$

i.e $y=e^{\frac{-t}{2}}\left ( c_1\cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )$

Applying conditions y(0)=1 on $e^{\frac{-t}{2}}\left ( c_1\cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )$ , $c_1=1$

So, equation becomes $y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )$

On differentiating with respect to t, we get

$y'=\frac{-1}{2}e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )+e^{\frac{-t}{2}}\left ( \frac{-\sqrt{3}}{2} \sin \left ( \frac{\sqrt{3}t}{2} \right )+c_2\frac{\sqrt{3}}{2}\cos\left ( \frac{\sqrt{3}t}{2} \right )\right )$

Applying condition: y'(0)=0, we get $0=\frac{-1}{2}+\frac{\sqrt{3}}{2}c_2\Rightarrow c_2=\frac{1}{\sqrt{3}}$

Therefore,

$y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+\frac{1}{\sqrt{3}}\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )$

3 0

3 years ago

HELP Sam measures the height of 7 different scoops of ice cream. The mean of the heights was 3.8 cm. Which of the following best

OLga [1]

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.

<h3>How to find the mean value of a data set?</h3>

The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.

If the data set consists of values

x_1, x_2, ..., x_n

, then we get the mean value as:

$\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}$

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.

$\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}$

mean= $\dfrac{(a+b+c+d+e+f+g)}{7}$

Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.

Learn more about mean;

brainly.com/question/23008823

#SPJ2

8 0

2 years ago

Read 2 more answers