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Mariana [72]
2 years ago
12

If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?

Mathematics
1 answer:
ratelena [41]2 years ago
6 0

Answer:

The percent increase is approximately 21%

Step-by-step explanation:

85 - 70 = 15

15/70 = 0.21

Move decimal over twice to the right and you would get 21%

I hope you have/had an amazing day<3

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Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?
DochEvi [55]

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is \frac{x}{a} +\frac{y}{b} =1

Now convert the above given line to the standard form

Divide the line by 30 we get

\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}

\frac{x}{15} -\frac{y}{\frac{30}{R} } =1

Here the y-intercept is 30/R

Given y-intercept = 5

\frac{30}{R} =5

R = 6

4 0
3 years ago
An employee puts 10000 in a retirement account that offers 4% interest. How much will he have in 12 years
steposvetlana [31]

Answer:

14800

Step-by-step explanation:

The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;

I = P x R x T / 100         ------------- (i)

Given:

Principal (P) = Initial amount being put into the account = 10000

Rate (R) = The interest rate being offered by the account manager = 4%

Time (T) = Time taken = 12 years

Substitute these values into equation (i) as follows:

I = 10000 x 4 x 12 / 100

I = 4800

Therefore, the initial amount will yield an interest of 4800 for those 12 years.

The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e

Amount = P + I

Amount = 10000 + 4800

Amount = 14800

4 0
2 years ago
Please Help!
alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}

and a, b and c are the three sides of the triangle

Area of triangle ABD =s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

6 0
3 years ago
Read 2 more answers
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data samp
Marizza181 [45]

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

5 0
2 years ago
Please Answer Correctly - Will Give Branliest &amp; Extra Points. (links or unidentified/wrong answers will be reported and auto
jonny [76]

Answer:

Step-by-step explanation:

11 no

46+4x=90 degree(being perpendicular)

4x=90-46

x=44/4

x=11

12 no

They are complementary angles

6 no

angle B+27=180 degree(being straight line)

angle B=180-27

angle B=153

10 no

angle 38 +angle DFE=180 degree(being supplementary)

angle DFE=180-38

angle DFE=142 degree

5 no

They are vertically opposite angles.

7 no

angle AGF and angle CGD (because they have common arm and vertex)

6 0
3 years ago
Read 2 more answers
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