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stiv31 [10]
3 years ago
14

Henrietta buys twelve pounds of bananas and ten pounds of apples for $ 12 . Gustavo buys eight pounds of bananas and five pounds

of apples for $ 7 . What is the price per pound of bananas and apples?

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

The price per pound of bananas is $0.5 and the price per pound of apples is $0.6

Step-by-step explanation:

Let

x -----> the price per pound of bananas

y -----> the price per pound of apples

we know that

12x+10y=12 -----> equation A

8x+5y=7 ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The intersection point is (0.5,0.6)

see the attached figure

therefore

The price per pound of bananas is $0.5

The price per pound of apples is $0.6

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2500 dollars is placed in an account with an annual interest rate of 7.25%. To the nearest year, how long will it take for the a
Bumek [7]

The amount would take 24 years (to the nearest years).

Step-by-step explanation:

Given details=

Principal (initial amount)= $ 2500

Amount= $ 13,100

Rate of interest (compounded annually)= 7.25%

Time required

We know that for compound interest A= P(1+R/100)ⁿ

Where A= amount

P= principal

R=rate

n= time period

Substituting the value of A, P, R in the equation above, we get

13,100= 2500(1+7.25/100)ⁿ

13,100/2500= (1+7.25/100)ⁿ

Solving the equation would give us the value of "n" as 23.66 years

Since the answer is required in the nearest year, the answer is rounded off to 24 years.

The amount would take 24 years to reach the amount of $ 13,100

7 0
3 years ago
CAN SOMEONE ACTUALLY HELP ME LOL
sdas [7]
A- 5
B- 4
C- 3
D- 8
E- -4
I think these are right hopes it help
5 0
3 years ago
Find an expression which represents the sum of (-3x-4y)(−3x−4y) and (x+3y)(x+3y) in simplest terms
ella [17]

Answer:

The sum of (−3x−4y) and (x+3y) in simplest terms will be:

\left(-3x-4y\right)+\left(x+3y\right)=-2x-y

Step-by-step explanation:

Given

  • (−3x−4y)
  • (x+3y)

Finding the sum of (−3x−4y) and (x+3y)

\left(-3x-4y\right)+\left(x+3y\right)

=-3x-4y+x+3y

=-3x+x-4y+3y

=-2x-4y+3y

=-2x-y

Therefore, the sum of (−3x−4y) and (x+3y) in simplest terms will be:

\left(-3x-4y\right)+\left(x+3y\right)=-2x-y

8 0
3 years ago
Which statement describes the graph of the system of equations below?
insens350 [35]
1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4

solution (they intersect at) (1.6,1.4)
8 0
3 years ago
Read 2 more answers
The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

N(T(t)) = 1408t^2 + 598.4t + 63.58 -  984t - 169.1

N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0
4 years ago
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