PLEASE HELP IF YOU GET RIGHT I GIVE BRAINLIEST

Answer:

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Step-by-step explanation:

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.

I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Step 1

We have to calculate the total interest earn on the initial capital

P = $2,560

R = 7.25% = 0.0725

T = 1

I = $2,560 × 0.0725 × 1

I = $185.60

Let the amount Invested in the account that paid 6% interest = x

Let the amount Invested in the account that paid 8% interest = y

Hence:

$185.60 = x × 6% + y × 8%

$185.60 = 0.06x + 0.08y......Equation 1

$2560 = x + y........ Equation.2

x = $2560 - y

$185.60 = 0.06x + 0.08y......Equation 1

185.60 = 0.06(2560 - y) + 0.08y

185.60 = 153.6 - 0.06y + 0.08y

185.60 - 153.60 = 0.02y

y = 32/0.02

y = $1600

x = $2560 - y

x = $2560 - $1600

x = $960

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Answer:

I get 92 but not really sire

MARK AS BRAINLIST

Step-by-step explanation:

L = 6t+5

H = √t

A = L*H

= (6t+5) *√t = 6t√t + 5√t

A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t

= 6t/2√t + 6√t + 5/2√t

Expression for the rate of change of the area with respect to time will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second

It's given in the question,

      (6t + 5) cm

       [tex]\sqrt{t}[/tex] cm

Area of the rectangle is given by,

Area = Length × Height

A = (6t + 5)(√t)

A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]

Now find the derivative of area (A) with respect to time (t).

[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]

A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

     Therefore, expression for the rate of change of the area will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

Learn more,

https://brainly.com/question/12596049?

Answer: Aaron is wrong. The first option is better as it costs less than the second option.

Step-by-step explanation:

Arron can join a gym for $19.99 per month plus an annual fee of $12.80.

Since Aaron wants to spend 10 months at the gym, this will cost him:

= $12.80 + ($19.99 × 10)

= $12.80 + $199.9

= $212.7

Paying $21.59 for 10 months will be:

= $21.59 × 10

= $215.9

The first option is better as it costs less than the second option.

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

Answer:

its a

Step-by-step explanation:

Answer:

If you wanna know how many beats are in a full minute, the answer is 156 beats

Step-by-step explanation:

1/6*6=1

26*6=156

Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

Answer:

19

Step-by-step explanation:

Firstly find BCE then divide by 2.

There is no solution for that problem....

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the surface of the water be at 0m

If a polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water, the distance between the ice float and the surface of the water will be:

= 2.5 - 0

= 2.5m

If the polar bear dove 6.5 meters from the top of the float into the water to catch a seal, to get the distance between the bear under the water to the sea level, we will use the expression:

2.5 + x = 6.5

Subtract 2.5 from both sides

2.5+x -2.5 = 6.5-2.5

x = 4.0m

Hence the equation that best represents how far below the surface the polar bear dove is 2.5 + x = 6.5 where x is the distance between the polar bear below and the surface of the water

Answer:

I believe the answer is b=1/2(d-g)

Step-by-step explanation:

multiply to remove the variable from the denominator.

Step-by-step explanation:

hope this helps, good night!!!!

Answer:

The answer is (7.8046875)

Step-by-step explanation:

Hope this helped

Answer:1/5

Step-by-step explanation:

Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

Answer:

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Step-by-step explanation:

Here we want to rewrite the polynomial

P(x) = x^3 + 7x^2 - 36

As a product of linear factors given that we have one of the roots already as (x + 3)

What we shall do here is to divide the polynomial by x + 3

Please check attachment for long polynomial division

From the division, the other factor is x^2 + 4x -12

So we can rewrite the polynomial as;

x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)

So let’s now write x^2 + 4x -12 as a product of its linear factors

x^2 + 4x -12 = x^2 + 6x -2x -12

= x(x + 6)-2(x + 6)

so we have;

(x -2)(x + 6)

Therefore;

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Answer:

A: y=9-6x

B: y=6x+9

C: y=9-6x

Step-by-step explanation:

a) y=9-6x, standard form is ax+by=c so add 6x to both sides

b)  from the first, we had it in slope intercept form, mx+b where b is the y-intercept.  y=-6x+9

c)  The x intercept occurs when y=0 so: y=9-6x

x=1.5

9/10 or 0.9

mark me brainliest if you feel like mine was helpful!! I hope that helped!

Answer:

just look up the answers on google

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Did the test

Answer: less than

Step-by-step explanation:

Because the square root of 144 is 12 it would be greater than 9 4/9. So 9 4/9 is less than 12

Step-by-step explanation:

(1/n)^-2/3

= n^2/3

= 3 root of n^2

solution is 3)

Answer:

0.8 cups

Step-by-step explanation:

Given that:

Numbe of cups of chocolate chips needed to the Number of dozens of cookies made can be represented using the ratio 4:5

Hence,

The proportion of cups of chocolate chips to the number of dozens of cookies = 4 / 5

4 cups of chocolate chips to 5 dozens of cookies ;

For 1 dozen of cookies, number of chocolate chips will be (x)

4 / 5 = x / 1

Cross multiply

4 * 1 = 5 * x

4 = 5x

x = 4/5 = 0.8

Hence, for 1 dozen of cookies, 0.8 cups of chocolate chips is required

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]

[tex]0.2396x\leq 10-3.25[/tex]

[tex]0.2396x\leq 6.75[/tex]

Divide both sides by 0.2396.

[tex]x\leq \dfrac{6.75}{0.2396}[/tex]

[tex]x\leq 28.172[/tex]

The maximum integer value of x is 28.

Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.

Answer: yes

Step-by-step explanation:

The x value does not repeat itself