Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?

Answer:

x = 19 and

y = 3

Step-by-step explanation:

40 + 8sqrt(x) - 5sqrt(x) - (sqrt x)^2 = y(sqrt x) + 21

40 + 3sqrt(x) - x = y (sqrt x) + 21

3sqrt(x) = y (sqrt x)

y = 3

40 - x = 21

40 - 21 = x

x = 10

Answer:

i think 22

Step-by-step explanation:

9*22=198

Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

8*1,750 = $14,000

Together with the deposited money:

$20,000 + $14,000 = $34,000

By the end of year 8 there will be $34,000 of Jerry's account.

Answer:

1. 3/6 or 3 out of 6

2. 6 times

3. 50.24mm²

4. 2.4

5. -4/3

6. 6 i think, but i'm not positive on this one

have a wonderful day :)

Answer:

D

Step-by-step explanation: a cup is 4 quarts

2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2

3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2

we have to check this in this triangle:

12^2 + 16^2 = 400

√400 = 20

we know that third side of this triangle is 20 so this triangle is right triangle

3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242

a^2 = 242

so from Pythagoras' theorem we can found the diagonal:

a^2 + a^2 = c^2 ( c is hypothenuse)

242 + 242 = c^2

484 = c^2

c = 22

hope it's correct and it'll help you :)

Answer:

b = 12

Step-by-step explanation:

hi! so this looks like a right triangle because it has a right angle which is 90 degrees! that means we can use the Pythagorean theorem to solve for the missing leg.

The Pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

Let's solve for the missing leg now!

1) first, we need to plug in the missing numbers into the equation

[tex]5^{2} + b^{2} = 13^{2}[/tex]

2) next, let's simplify the problem

[tex]25 + b^{2} = 169[/tex]

3) now, let's isolate the variable, b

[tex]b^{2} = 144[/tex]

4) finally, we have to take the square root of b so it will be b not [tex]b^{2}[/tex]

b = 12

Let's plug in our answer to the equation to check if it is correct!

[tex]5^{2} + 12^{2} = 13^{2}[/tex]

25 + 144 = 169

169 = 169 hooray!

you do not have to do all of this work if you memorize the Pythagorean triples!

comment or message if you have any questions :)

Answer:

3

Step-by-step explanation:

2 out of 3. 3x3=9, 2x3=6. 9-6=3

Answer:

It was a 12.5% water gain

Determine the largest number of 34 cent stamps she can buy

The largest number of 34 cent stamps she can buy is 30

Given:

Total money = $12.25

let

x = 34 cent stamp

y = 3 cent stamp

34 cent stamp = 5 × 3 cent stamp

x + y = 0.49

x = 5y

0.34x + 0.3y = 12.25

0.35(5y) + 0.3y = 12.25

1.75y + 0.3y = 12.25

2.05y = 12.25

y = 12.25/2.05

y = 5.9756097560975

approximately, y = 6

Recall,

x = 5y

x = 5(6)

x = 30

Therefore, the largest number of 34 cent stamps she can buy is 30

Read more:

https://brainly.com/question/7852538

[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]

Given that,

[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]

and

[tex]\rm \longmapsto\:g(x) = x - 2[/tex]

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

[tex]\rm \longmapsto\:p(2)[/tex]

[tex]\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]

[tex]\rm \:  =  \: 16 - 8 - 4 - 4[/tex]

[tex]\rm \:  =  \: 16 - (8 + 4 + 4)[/tex]

[tex]\rm \:  =  \: 16 - 16[/tex]

[tex]\rm \:  =  \: 0[/tex]

[tex]\rm\implies \:p(2) \: = \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]

[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]

[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]

and

[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]

Now, By using Factor Theorem, Consider

[tex]\rm \longmapsto\:p( - 1)[/tex]

[tex]\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]

[tex]\rm \:  =  \: - 2 + 1 + 2 + 1[/tex]

[tex]\rm \:  =  \: 2[/tex]

[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]

Answer:

the mean of the data is 13, so the result is given by the sum of all data (11+12+13+14+15) and divided by 5

Answer:

(b) part is answer.

may it will help you.

Answer:

5 inches

Step-by-step explanation:

60÷12=5 cents ( 1 inches of wire )

25÷5=5 inches

Given :

To find :-

Solution :-

The gradient form/ slope intercept form

On converting ,

Answer: f-1(x) = x/5 - 10

Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10

Steps:

The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.

[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]

So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]

Step-by-step explanation:

here's your answer

enjoy

Answer: 32.5

Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)

Step-by-step explanation:

Multiply both sides by 2/(b1 + b2) to isolate h and get

h = [2/(b1 + b2)] A = 2A/(b1 + b2)

Answer:

i dont know the answer sorry

Step-by-step explanation:

Explanation:

The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.

Answer:

A. Kristina will sell 294 items in 28 days if she stays on her current pace.

B. She is not on track to meet the goal.

Step-by-step explanation:

By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.

Answer:

The GCF equal;

[tex] {x}^{3} y {z}^{2} [/tex]

I hope I helped you^_^

Answer: 126.49 cm [A VERY small bedroom]

Step-by-step explanation:

The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.

For reference, 126.49cm is 4.14 feet.

Answer:

2.68

Step-by-step explanation:

Answer: The bags cost about $2.68 each

Step-by-step explanation: All I did was simple Division: ($10.72 ÷ 4 = $2.68) If you need to double check to see if this is accurate, you can do ($2.68 x 4= 10.72)  Therefore, this equation has an accurate answer.~

Hope this helps, have a great day/night!

~IFoundJiminsLostJams~

Answer:

6

Step-by-step explanation:

The hypotenuse is the side opposite the right angle.

The side opposite the right angle is 6 m long

the coefficient of term 4 is 2

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)