I’ll give brainliest and 100 points

Answer:

$4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.

Step-by-step explanation:

Given that a bank loaned out $ 8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest, and the total interest earned for both loans was $ 785.00, to determine how much was loaned at each rate you must perform the following calculation:

8,500 x 0.14 + 0 x 0.05 = 1,190

6,500 x 0.14 + 2,000 x 0.05 = 1,010

4,500 x 0.14 + 4,000 x 0.05 = 830

4,000 x 0.14 + 4,500 x 0.05 = 785

Thus, $ 4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Surface area of square pyramid is 95 square yard.

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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Answer:  Do you have a pic

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = ((√2)/2, (√2)/2))

Step-by-step explanation:

See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).

Answer:

I think the answer is b. I am not sure so if I was incorrect I apologize.

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

Answer:

It is H

Step-by-step explanation:

Answer:

14.53 is less than 16.3

Step-by-step explanation:

Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

20 dollars plus 10% = 22

Answer:

x = 32

y = 4

x/y = 32/4 = 8

Hope it helps!

Hello!

We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.

We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.

According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.

So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.

Hope this helps!

Answer:

1/4=3, 1/4*4= 1 and since 1/4 is $3 just do 1/4:$3+1/4:$3+1/4:$3+1/4:$3 which is $12

Step-by-step explanation:

Answer:

7) x=15.2643

8)  x=21.33

Step-by-step explanation:

7) 8²+13²=c²

64+169=c²

233=c²

c²=√233

c=15.2643

8) 11²+x²=24²

121+x²=576

x²=576-121

x²=455

x=√455

x=21.33

Answer:

[tex]y = 10000 * 0.959^t[/tex]

Step-by-step explanation:

Given

[tex]a = 10000[/tex]

[tex]r = 4.1\%[/tex]

Required

Express as an exponential function [tex]y =ab^t[/tex]

First, we calculate the value of b;

Since the population decrease, then

[tex]b = 1 - r[/tex] --- This represents decrement of decay factor

Substitute [tex]r = 4.1\%[/tex]

[tex]b = 1- 4.1\%[/tex]

[tex]b = 0.959[/tex]

So:

[tex]y =ab^t[/tex] becomes

[tex]y = 10000 * 0.959^t[/tex]

Answer:

A) -1/3

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    m = -1/3

Answer:

-2(4 - 1)

Step-by-step explanation:

Choice A: ❌

9-(-17)

9 + 17 = 26

Choice B: ❌

(4 - 16)/(-2)

(-12)/(-2)

6

Choice C: ✅

-2(4 - 1)

-2(3)

-6

Choice D: ❌

3 x (-2) x (-1)

-6 x (-1)

6

Answer:

- 2(4 - 1)

Step-by-step explanation:

9 - (- 17)

9 + 17 = 26

[tex]\frac{4 - 16}{-2}[/tex] = 12

- 2(4 - 1)

- 2(3) = - 6

3 × - 2 × - 1 = 6

Answer:

2 * 2 * 5 * 5

Step-by-step explanation:

100 = 2 * 50

       = 2 * 2 * 25

       = 2 * 2 * 5 * 5

Answer:

Step-by-step explanation:

Answer:

He is 9.9 miles far from his starting point.

Answer:

No, the 10% condition is not met.

Step-by-step explanation:

got it right on edge

Answer:

c

Step-by-step explanation:

Answer:

24 [tex]\frac {3} {8}[/tex] m

Step-by-step explanation:

[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]

[tex]\frac{15x13}{2x4}[/tex]

Simplify

[tex]\frac{195}{8}[/tex]

Answer: 24 [tex]\frac{3}{8}[/tex] m

The area of the grass seed Jerome needs to cover is A = 34.375 m²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the grass seed needs to cover be A

Now , the area of the lawn L = ( 11 3/4 ) x 5 m²

The area of the lawn L = 58.75 m²

where the length of the pool l= ( 7 1/2 ) m = 7.5 m

The width of the pool is w = ( 3 1/4 ) m = 3.25 m

Now , Area of Rectangle = Length x Width

On simplifying , we get

Area of the pool P = 7.5 x 3.25 = 24.375 m²

Now , the area of the grass seed needs to cover A = L - P

The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²

The area of the grass seed needs to cover A = 34.375 m²

Therefore , the value of A is 34.375 m²

Hence , the area of the grass seed is 34.375 m²

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Answer:

1. -x+y

2. 3a -4b

3. 5g-3y+8

4.4g-4w

5.3x-4

6.1+2a

7. c

8. 6-3x-4y

9. -5h-3+3f

10. 0

b. simplify 2(x+3) +2(2x+7) to get

6x+20

c. 12x +6

srry for the wait :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A1) 4x-5x+3y-2y

=-x+y

=y-x

2) 2a-3b-b+a

=2a+a-3b-b

=3a-4b

3) 6g-g+8-3y

=5g-3y+8

4) 3g+g-3w-w

=4g-4w

5) 4x+3-x-7

=4x-x+3-7

=3x-4

6) 4t+1-4t+2a

=4t-4t+1-2a

=1-2a

7) 6c+2+2c-2-7c

=8c-7c

8) 6-2x-5y-x+y

=6-3x-5y+y

=6-3x-4y

9)4h+3-h+3f-9h-5+h-1

=-6h-3+3f

=3f-6h-3

10) 1-x+y-2x-2y-1+3x+y

=0

B) The perimeter

= (2x+7)2+(x+3)2

=4x+14+2x+6

=6x+20

C) The perimeter

=3x+3+3x+1+x+2+x+(3x+3-x-2)+(3x+1-x)

=3x+3+3x+1+x+2+x+3x+3-x-2+3x+1-x

=12x+8

Answer:

20%

Step-by-step explanation:

You do 3 divided by 15 which is 0.2, or 20 percent.

Answer:

It is the 3rd one 9/5y+9.

Answer:

0.336

Step-by-step explanation:

Here the mean is 83 min and the standard deviation is 33 minutes.  Note that

1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes.  So 97 minutes is above the mean and below 1 standard deviation above the mean.

What is the probability that the interval is BELOW 97 minutes?  If we find this, subtracting it from 1.000 results in the desired probability.

Using the Distribution key on my TI 83 Plus calculator, I get:

normalcdf(-100,97, 83,33) = 0.664.  

Subtracting this from 1.000 results in 0.336.

Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.