You decide to put $2,000 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly,
how long does it take until you have $3.000 without depositing any additional funds?

Answer:

x=98

Step-by-step explanation:

Alright, so..

Your first step is to isolate (or make the x be alone), so you will have to get rid of the "8". We do this by doing the opposite thing to it. So since it is subtracting, we will add 8:

-8+8=0
Now what you do to one side of the "=" has to be done to the other:
6+8=14

now, we have the equation:
14=x/7

Simply repeat the step of isolating the x:
This time, we will multiply since it was originally dividing..

x/7(7)=1x/1

1x/1 is the same thing as 1x, which is the same thing as just "x"

Now, do it to the other side:
14(7)=98

Thus we have:
98=x or x=98

this can be checked by substituting the "x" for 98:

6=98/7-8
98/7=14

14-8=6

6=6

which is correct.

Thus, the answer is: x=98

Hope this helps! Brainliest is always appreciated! :)
Have a great day! cx

~Mitsuna

Answer:

ok so we have to make it so we can get rid of one of the varibles by adding or subtracting

so lets multiply the first one by 4

120x+16y=4160

minus the second one so

108x=2160

divide by 108

x=20

then we just plug in

12(20)+16y=2000

240+16y=2000

-240

16y=1760

divide by 16

y=110

(20,110)

Hope This Helps!!!

Answer:

16 11/2

Step-by-step explanation:

ezz

Answer:

3 Rd one

Step-by-step explanation:

donee....!!✓give me the branliest

Answer: 24/5=4.8  36/8=4.5

Step-by-step explanation: First, let's start off by dividing 24 by 5. We can turn this into 24.0 divided by 5 to make it a bit simpler. We know that 240 by 5 = 48, then since there is a decimal 1 digit to the left in 24.0, we apply that decimal 1 digit to the left in 48, making it 4.8! Now let's do 36 by 8. We can do what we did for problem 1 and turn 36 into 36.0, 360 by 8 = 45 and applying the same logic we used before, 360 turns into 36.0, and 45 turns into 4.5! Therefore, Kalel is wrong, and the two equation is not equal.

P.S. Using long division, Kalel is technically kind of right, but there's still that unaccounted for '4' that we still need to divide.

Answer:

80,000

Step-by-step explanation:

The population doubles every 260 hours. 260 goes into 780 three times.

10,000x2=20,000

20,000x2=40,000

40,000x2=80,000

The difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

Let the base price of the razor in some base period be [tex]C_0[/tex]  

Then, for year 1983, we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\185= \dfrac{57.81}{C_0} \times 100\\\\C_0 \approx 31.248 \: \text{(in dollars)}[/tex]

Now for the year when CPI is 207, let the price of th razor be $x, then we get:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\207 \approx \dfrac{x}{31.248} \times 100\\\\x \approx 64.683 \: \text{(in dollars)}[/tex]

The difference between the two prices is:

[tex]d \approx 64.683 - 57.81 = 6.87 \approx 6.88\: \text{(in dollars)}[/tex]

Thus, the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

Learn more about consumer price index here:

https://brainly.com/question/27143583

Answer:

D

Step-by-step explanation:

Answer:

[tex]\displaystyle 12 + w[/tex]

Explanation:

Just combine like-terms to arrive at your answer:

[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]

I am joyous to assist you at any time.

Answer:

Hi uddin

Step-by-step explanation:

Do u remember me

I am the ghost of the uchiha i searched ur this question and found ur brainly thing

Answer:

Step-by-step explanation:

16% of 250

250% of 16

Both outcomes are same so the answer is True

Let's check

16% of 250

250% of 16

Yes true

Answer:

P = 48in

Step-by-step explanation:

P=4a=4·12=48in

Answer:

y=-3x+5

Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.

Answer:

  y = -3x +5

Step-by-step explanation:

In general, do what the question asks you to do: write the equation of the line.

__

The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...

  y = mx + b . . . . . . where m is the slope, b is the y-inercept

You are given m = -3 and b = 5, so the equation you are asked to write can be ...

  y = -3x +5 . . . . . . this equation is the answer to the question

__

Additional comment

There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a given slope through a given point.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:

  x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'

Another useful form is "standard form", which has ...

  ax +by = c . . . . where a > 0, and a, b, c are mutually prime

For example, the equation for your line could be written in standard form as ...

  3x +y = 5

Answer:

jade can by 5 pizzas

Answer:

-3/4 x -3

Step-by-step explanation:

Put all Answer choice on graph:

-3/4 x -3

-4/3 x - 3

-3/4 x -4

Base on the graphs below:

we can see that -3/4 x -3 is the best represents..

~Lenvy~

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

Answer:

8.28

Step-by-step explanation:

we can express this question as

12.25/1.7=x/1.15

this can be simplified to

x=8.28

The height of Naomi's school building is 8.29 meters

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

In the given question and attached figure we have,

Now we have to find the height(AB) of the building,

By the properties of similar triangles, we can write,

AB / BC = DE / CD

Putting all the values we get,

AB / 12.25 = 1.15 / 1.7

Simplifying we get,

AB = (1.15 / 1.7) × 12.25

By further simplifying,

AB = 8.29 meters

Therefore, the height of Naomi's school building is 8.29 meters.

know more about similar triangles click here - brainly.com/question/27243378

#SPJ2

Answer:

#12=442

#13=560

#14=918

Step-by-step explanation:

26x17=442

28x20=560

27x34=918

Answer:

Step-by-step explanation:

I will answer only a few

12.) the area of a triangle is half its base times its height

[tex]\frac{1}{2} *17 * 26[/tex]

= 17 * 13

= 221

13.) 1/2 * 20 * 28

= 10 * 28

=280 cm^2

eighteen thirds

two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{18}{3}[/tex]     [ also refereed as eighteen thirds ]

Answer:

[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]

↓ Second problem

[tex]11/27\\18/27\\11/3\\18/3[/tex]

                                          Hope it helps, be great!

I think the radius would be 13.9 ft

Answer:

huh

Step-by-step explanation:

Answer:

The choice B

Step-by-step explanation:

[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]

Answer:

the median is 55.6

Step-by-step explanation:

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  

=

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

Answer:

about 3600

Step-by-step explanation:

An isosceles right triangle has two congruent angles and a right angle

It is true that the base angle of an isosceles right triangle is 45 degrees

From the question, we understand that:

Triangle type = isosceles right triangle

The sum of angles in a triangle is:

x + y + z = 180

Assume the triangle is right-angled at z.

So, we have;

z = 90

The equation becomes

x + y + 90 = 180

Subtract 90 from both sides

x + y = 90

The triangle is an isosceles triangle.

So, we have: x = y

The equation becomes

x + x = 90

2x = 90

Divide by 2

x = 45

Hence, it is true that the base angle of an isosceles right triangle is 45 degrees

Read more about isosceles right triangle at:

https://brainly.com/question/20447308

Equation in slope intercept form

Now

Answer:

Step-by-step explanation:

a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.

b) Same logic, (1/6)^2 = 1/36

c) correct

d) 3