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Miss Gonzales opened an account with a deposit of $2,000. The account earned annual simple interest. She did not make any additional deposits or withdrawals. At the end of 6 years, the balance of the account was $2,696. What is the annual interest rate on this account ?

Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:

[tex]A(t) = 684(1.03)^t[/tex]

Then, in 7 months, it will be given by:

[tex]A(7) = 684(1.03)^7 = 841[/tex]

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

Answer:

8

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

[tex]10 + 10 - 4 \times 3 \\ 4 \times 3 = 12 \\ 10 + 10 - 12 \\ 10 + 10 = 20 \\ 20 - 12 = 8[/tex]

Answer:

8

Step-by-step explanation:

4x3 first = 12

then just do left to right

10+10=20

20-12=8

Step-by-step explanation:

the area is

baseline × height.

remember, 2 lengths are multiplied.

since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.

18 × f = 63

f = 63/18 = 7/2

this factor f applies (as mentioned) to the baseline AND to the height.

therefore, the area changes by f×f = f² = 49/4.

that means the area of the larger figure is

216 × 49/4 = 54 × 49 = 2,646 yd²

Answer: single goes on 45 i forgot the other one

Step-by-step explanation:

Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

The equation of a line can be rewritten in slope-intercept form as, y = mx + b.

The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.

Given the equation:

3x + y = -5

Rewrite in slope-intercept form:

y = -3x - 5

The slope of the graph, would be m = -3, and the y-intercept would b b = -5.

Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

Learn more about graph of a line on:

https://brainly.com/question/10790818

Answer:

B

Step-by-step explanation:

Took the quiz on EDGE 2022

Answer:

Slope: [tex]-\frac{3}{2}[/tex]

y-intercept: (0,1)

[tex]\left[\begin{array}{cc}x&y&0&1\\2&-2\end{array}\right][/tex]

here's the graph since the other knucklehead didn't add it

Answer:

The slope is -1/2

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}[/tex]

Answer:

0.75 feet

Step-by-step explanation:

Let's picture a right triangle, where :

Let the height of the ladder be x.

Answer:

0.748 ft (nearest thousandth)

Step-by-step explanation:

Use the tan trig ratio:

[tex]\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \tan(14)=\dfrac{x}{3}[/tex]

[tex]\implies x=3\tan(14)[/tex]

[tex]\implies x=0.7479840085...[/tex]

Therefore, the ladder reaches up the wall 0.748 ft (nearest thousandth)

Answer: 45 items

Step-by-step explanation:

2 key chains in 5 bags so 2+2+2+2+2=10

Then it says 7 treats in each 5 bags so

7+7+7+7+7=35

So 10+35=45 so she had 45 items

And put 9 items in each bag

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

12^2 + 15^2 = c^2

144 + 225 = c^2

144 + 225 = 369^2

√369 = 19.21

The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

For this case, the equation of the circle that models tha circular area considered is:

[tex](x-9)^2 + (y+11)^2=16[/tex]

Writing this in standard form and comparing it with the standard equation, we get:

[tex](x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2[/tex] (didn't took (-4)² = 16 since radius cannot be negative).

Thus, we get center's coordinate as (9,-11) and radius of 4

The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.

Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

Learn more about equation of a circle here:

https://brainly.com/question/10165274

J is equal to 24 ____________________________

Answer:

1000/5=200?

There are five prizes?

Each one has an equal amount?

Answer:

6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18

Step-by-step explanation:

Answer:

with aritmetical form u do this: 14+14+18+12=58

now 58/4=14.5

average score Is 14.5

Answer:

8

Step-by-step explanation:

b ÷ 9 when b = 72

b ÷ 9 <== substitute 72 for b, and solve

72 ÷ 9 = 8

Hope this helps!

Answer:

Answer = 8

Step-by-step explanation:

first you write out the equation

next you substitute 72 for b

then you divide them to get your answer of 8

Answer:

OPTION B

Step-by-step explanation:

1 cm=0.75 m

I hope it helped you

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

Answer:

-3

Step-by-step explanation:

2x=-6

transpose 2 to LHS

[tex]x = \frac{ - 6}{2 } \\ =x = - 3[/tex]

Answer:

x = - 3

Step-by-step explanation:

2x = - 6 ( divide both sides by 2 )

x = - 3

1) Not Congruent

2) Congruent

3) Congruent

4)Congruent

Answer:

4 cups of sugar

Step-by-step explanation:

2 x 2 = 4

Toya will use 4 cups of sugar.

Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 25, \sigma = 4[/tex].

The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:

X = 25:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 25}{4}[/tex]

Z = 0.

Z = 0 has a p-value of 0.5.

X = 20:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20 - 25}{4}[/tex]

Z = -1.25.

Z = -1.25 has a p-value of 0.106.

0.5 - 0.105 = 0.394 = 39.4%.

Hence, 39.4% of restaurants have between 20 and 25 reviews.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

Easy!

Step-by-step explanation:

All you have to do is..       Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.

Hope this helps :)

Answer:The answer is12

Step-by-step explanation:

Answer:

y = (-5/2)X + 4

Step-by-step explanation:

we know that the equation of a line is y = mx + b

m = -5/2

so

y = -5/2x + b

to find b:

-6 = -10 + b

b = 4

so

y = (-5/2)X + 4

Answer:

Use the point-slope form of a linear equation:

[tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute given information into the equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]

[tex]\implies y+6=-\dfrac52x+10[/tex]

[tex]\implies y=-\dfrac52x+4[/tex]

Therefore, the equation of the line in different formats is:

[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]

[tex]\textsf{standard form: }5x+2y=8[/tex]

Answer:

48 ft = r

Step-by-step explanation:

Pythag theorem

r^2 + 55^2 = (25+r)^2

                  = 625 + 50r + r^2

r = 48

Answer:

（-1,3）

Step-by-step explanation:

use x1+ x2 /divide by 2 .BCOS of u need the midpoint of the straight line

Answer:

[tex]\boxed{\sf{I=Prt}}[/tex]

Step-by-step explanation:

Here is the formula for simple interest:

[tex]\Longrightarrow:\sf{I=Prt}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

PRT/100

Step-by-step explanation:

To calculate the simple interest of a principle, use PRT/100, where:

Let's solve an example together.

Example (https://brainly.com/question/14162725):

Find the Simple Interest to the nearest cent. $300 at 15% for 14 months.

----------------------------------------------------------------------

Before we find the simple interest, let's convert the time into years.

⇒ 14 months = 1 year 2 months ≈ 1.17 years

To find the simple interest, we will substitute the principle ($300), rate (15%) and time (1.17 years) in PRT/100.

⇒ (P)(R)(T)/100 ⇒ (300)(15)(1.17)/100

⇒ (3)(15)(1.17)

⇒ 45(1.17) = $52.65

Thus, the interest is $52.65.

1 inch= 15 miles

the distance between the cities

1 in/ 15 miles = 6 in/ x miles

applying cross products:

1 * x = 15 *6

x= 90

so, the distance betwixt the cities is 90 miles.

Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??