Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For what period of time did she borrow the money?

Whats the...
Principal_____
Rate____
Intrest_____

Answer:

9

Step-by-step explanation:

Answer:

y = - x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

The line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

Answer:

126.5 cm^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

253[tex]cm^{2}[/tex]

Step-by-step explanation:

11 times 23 =253[tex]cm^{2}[/tex]

Answer:

9.0

Step-by-step explanation:

x = 7 / cos 39°

= 7 / 0.7771

= 9.0

Answer:

62 square feet

Step-by-step explanation:

9 x 8 = 72

5 x 2 = 10

72 - 10 = 62

Answer:

if I'm not wrong the answer should be 403,000

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope of line S using line R (m)

[tex]y=-\frac{1}{4} x+3[/tex]

We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{4}x+b[/tex]

2) Determine the y-intercept of line S (b)

[tex]y=-\frac{1}{4}x+b[/tex]

Plug in the given point (-4,3) and solve for b

[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]

Subtract 1 from both sides to isolate b

[tex]3-1=1+b-1\\2=b[/tex]

Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:

[tex]y=-\frac{1}{4}x+2[/tex]

I hope this helps!

Answer:

2x = 44

Step-by-step explanation:

115+94+107+2x = 360

2x = 360 -316 = 44

x = 22

Answer:

Step-by-step explanation:

115+94+107+2x=360 degree(sum of interior angles og four angles is always 360 degree)

2x+316=360

2x=360-316

x=44/2

x=22

substitute the value of x in 2x

=2x

=2*22

=44

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

[tex]n = 30[/tex] -- sample size

[tex]\bar x = 50[/tex] -- sample mean

[tex]\sigma = 10[/tex] --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{10}{\sqrt {30}}[/tex]

[tex]\sigma_x = \frac{10}{5.478}[/tex]

[tex]\sigma_x = 1.825[/tex]

The 95% confidence interval for the z value is:

[tex]z = 1.960[/tex]

Calculate margin of error (E)

[tex]E = z * \sigma_x[/tex]

[tex]E = 1.960 * 1.825[/tex]

[tex]E = 3.577[/tex]

The confidence bound is:

[tex]Lower = \bar x - E[/tex]

[tex]Lower = 50 - 3.577[/tex]

[tex]Lower = 46.423[/tex]

[tex]Lower = 46.4[/tex] --- approximated

[tex]Upper = \bar x + E[/tex]

[tex]Upper = 50 + 3.577[/tex]

[tex]Upper = 53.577[/tex]

[tex]Upper = 53.6[/tex] --- approximated

So, the 95% confidence interval is (46.4, 53.6)

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{10}{\sqrt {90}}[/tex]

[tex]\sigma_x = \frac{10}{9.49}[/tex]

[tex]\sigma_x = 1.054[/tex]

The 95% confidence interval for the z value is:

[tex]z = 1.960[/tex]

Calculate margin of error (E)

[tex]E = z * \sigma_x[/tex]

[tex]E = 1.960 * 1.054[/tex]

[tex]E = 2.06584[/tex]

The confidence bound is:

[tex]Lower = \bar x - E[/tex]

[tex]Lower = 50 - 2.06584[/tex]

[tex]Lower = 47.93416[/tex]

[tex]Lower = 47.9[/tex] --- approximated

[tex]Upper = \bar x + E[/tex]

[tex]Upper = 50 + 2.06584[/tex]

[tex]Upper = 52.06584[/tex]

[tex]Upper = 52.1[/tex] --- approximated

So, the 95% confidence interval is (47.9, 52.1)

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

[tex]n = 30[/tex]     [tex]E = 3.577[/tex]

In (b), we have:

[tex]n = 90[/tex]    [tex]E = 2.06584[/tex]

Notice that the margin of error decreases when the sample size increases.

Answer:

option D

because every length is one fifth of the corresponding length of the bigger triangle

Answer:

As a statistical tool, a frequency distribution provides a visual representation for the distribution of observations within a particular test. Analysts often use frequency distribution to visualize or illustrate the data collected in a sample.

Answer:

D. is your answer

Step-by-step explanation:

Answer:

A'(0,20), B'(16,12), C'(8,4)

Step-by-step explanation:

Assuming the dilation is about the origin,

then after the dilation with a factor of 2, all coordinates will be doubled.

A(0,10) => A'(0,20)

B(8.6) =>  B'(16,12)

C(4.2) => C'(8,4)

So the answer is A'(0,20), B'(16,12), C'(8,4)

Step-by-step explanation:

Math is a language

say you plant two posts that are 5ft apart and you want to get up to 60ft

right now you've covered 5ft and now have 60 - 5 = 55ft to go.

you plant the next one: 55 - 5 = 50ft to go

instead of subtracting many times and counting hiw many times we've subtracted, we can use division

60ft / 5ft = 12 posts

to verify, you can multiply 5 and 12 which is the same as adding 5 + 5 + 5 + 5 +... + 5 = 5ft x 12 Posts= 60ft in total length

There are 12 posts for 60 feet of straight line fence.

Here,

Given that,

Post are space 5 feet apart.

We have to find number of posts for 60 feet of straight line fence.

What is Division method?

This method of distributing a group of things into equal parts is termed as division.

Now,

We can division method to find number of posts for 60 feet of straight line fence.

Here, Post are space 5 feet apart.

Number of posts = [tex]\frac{60}{5} = 12[/tex]

Hence, There are 12 posts for 60 feet of straight line fence.

Learn more about the Division method visit:

https://brainly.com/question/25289437

#SPJ2

Answer:

snafnjnfnEWfnwenlfnwenflwenlfewfwefư

Answer:

All of the values that can go into a relation or function (input) are called the domain. ... The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Answer:

3rd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{5}{3}[/tex] and c = - 3 , then

y = - [tex]\frac{5}{3}[/tex] x - 3 ← equation of line

Answer:

I'm not sure but I did do it on a calculator so 1.515-1.56= -0.045

Answer:

B

Step-by-step explanation:

[tex]m = \frac{0 - ( - 2)}{ - 2 - 0} = - 1[/tex]

use the point (-5,3)

y-3=-(x-(-5)) = y-3= -(x+5)

Answer: B. y - 3 = -(x + 5)

Step-by-step explanation:

Find two easy points on the graph to calculate the slope:

The slope is calculated using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], so substitute in the values:

[tex](x_{1}, y_{1}) = (-2, 0)\\(x_{2}, y_{2}) = (0, -2)\\ \frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{(-2)-0}{0-(-2)} =\frac{-2}{0+2} =\frac{-2}{2} =-1[/tex]

The y-intercept is where it intersects the y-axis. It's -2.

Therefore, if you put it together, the function would be y = -x - 2                    

Solve each answer choices and find the one that matches the function:

B.[tex]y-3=-(x+5)\\y-3=-x-5\\y=-x-5+3\\y=-x-2[/tex]

Answer:

length =29m width =11m

Step-by-step explanation:

length---L

width -----W

L=3W-4

area=319sqm

area of rectangle=L × W

area of rectangle =W ×(3W - 4)=319

expanding...

3W^2 - 4W=319

3W^2 - 4W -319=0

factorize

(W-11)(3W+29)=0

W=11 or -29/3

using the positive because the negative width with a minus sign does not make sense in real life, we use 11m

width =11m

length 3W -4=3(11) -4 =29m

Answer:

we use side of triangle to find area and divide by 2 so first one is 15*15+ 8*15/2 225+60=285

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]

[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]

- Plug the values & then simplify !

[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]

[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]

[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]

✺ Stay dedicated because great things takes time! ♪

シHope I helped! ♡

☃Have a wonderful day / evening ! ☼

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]2*\pi *10=62.83185307[/tex]

[tex]20/2 = 10[/tex]

[tex](Radius)[/tex][tex]Or the C = \pi*d[/tex]

62.83185307 is the answer

Answer:

C≈60

Step-by-step explanation:

remember circumference formula

[tex] \displaystyle C = 2\pi r[/tex]

given that,d=20 therefore r would be 20/2=10 thus substitute:

[tex] \displaystyle C = 2\pi .10[/tex]

simplify mutilation:

[tex] \displaystyle C = 20\pi [/tex]

substitute the given value of π:

[tex] \displaystyle C = 20.3[/tex]

simplify multiplication:

[tex] \displaystyle C = 60[/tex]

and we are done!

Answer:

-5.5

Step-by-step explanation:

[tex]\frac{-7+-4}{2}\\\\\frac{-11}{2}\\\\-5.5[/tex]

Answer:

6

Step-by-step explanation:

We can find the sum by find all 4 terms

n=1

(-1) (( 3*1)+2) = -1 *5 = -5

n=2

(-1)^2 ( 3*2 +2) = 1(6+2) = 8

n= 3

(-1)^3 ( 3*3+2) = -1 ( 9+2) = -11

n=4

(-1)^4 (3*4 +2) = 1( 12+2) = 14

Add them together

-5+8-11+14

6

Answer:

C. 6

Step-by-step explanation:

hope this helps :)

Answer:

No, it doesn't make sense, as we cannot have a negative population of owls.

Step-by-step explanation:

Obtaining a the quadratic model :

y = -1,34x2 - 10,75x - 11.3 ; by fitting the data above ;

To obtain the number of owls after 8 years, we have ;

y = -1,34x2 + 10,75x - 11.3

put x = 8 in the equation

y = -1,34(8)^2 + 10.75(8) - 11.3

y = - 85.76 + 86 - 11.3

y = - 11.06

y = - 11

This figure dies not make sense, as we cannot have a negative population of a certain specie such as owls at any given time.

Answer:

No, because you can't have a negative number of owls.

Step-by-step explanation:

Answer:

B) 12

Step-by-step explanation:

2/7 is the original ratio

7 × 6 = 42

2 × 6 = 12

Answer:

200 boxes

Step-by-step explanation:

We can use ratios to solve

12 suits       2400 suits

------------ = ------------

1 box          x boxes

Using cross products

12x = 1*2400

12x = 2400

Divide by 12

12x/12 = 2400/12

x =200

We need 200 boxes

Answer:

200

Step-by-step explanation:

1 box = 12

Box? = 2400.

DIVIDE