All categories

3 years ago

Tonya is twice Kevin's age.

Mathematics

2 answers:

Luden [163]3 years ago

8 0

Hi there, Kevin's age would be C. 7. This is because Tonya right now is 14. 7 is half of 14.

hichkok12 [17]3 years ago

4 0

For this case we have the following variables:

T: Tonya's age

K: Kevin's age

If Tonya is twice Kevin's age we have:

$T = 2K$

In three years Tonya will have 17, it means:

$T +3=17$

We have a system of two equations with two unknowns:

$T=2K$

$T+3=17$

From the second equation we have: $T = 17-3 = 14$

Substituting T = 14 in the first equation we have:

$14 = 2K$

Clearing K:

$\frac{14}{2}=K$

So, Kevin is 7 years old

Answer:

7 years

Option C

You might be interested in

Write the polynomial in standard form. 5z + 2z^3 - z^2 + 3z^4

pochemuha

Answer:

the standard form of this equation will be 3z^4 + 2z^3 - z^2 + 5z

Step-by-step explanation:

as much as I would like to, I'm really not that good at explaining things

5 0

3 years ago

a person invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. the total annual income from these inve

lukranit [14]

Answer:

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

Step-by-step explanation:

step 1

Let

x-----> the amount invested at 8% rate

y-----> the amount invested at 10% rate

z-----> the amount invested at 12% rate

$z=(x+y)+300$ ----> equation A

$x+y+z=6,700$ ----> equation B

substitute equation A in equation B

$x+y+(x+y+300)=6,700$

$2x+2y=6,400$

$x+y=3,200$ -----> equation C

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=1\ year\\ P=\$6,700\\ I=\$716$

substitute in the formula above

$716=x(0.08)+y(0.10)+z(0.12)$

substitute equation A

$716=x(0.08)+y(0.10)+(x+y+300)(0.12)$

$716=0.08x+0.10y+0.12x+0.12y+36$

$716=0.20x+0.22y+36$

$0.20x+0.22y=680$ -----> equation D

step 2

Solve the system of equations

x+y=3,200 -----> equation C

$0.20x+0.22y=680$ -----> equation D

Solve the system by graphing

The solution is the point (1,200,2,000)

see the attached figure

Find the value of z

$z=(x+y)+300$

$z=(1,200+2,000)+300=3.500$

therefore

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

8 0

4 years ago

Find dy/dx for y= 4^lnx

Vedmedyk [2.9K]

Answer:

$\frac{ {4}^{ ln(x) } ln(4) }{x }$

6 0

3 years ago

Solve the equation: -4(m+6)=-8 m=-10 m=-4 m=3.5 m=26

Harrizon [31]

M = -4 for this one...............

8 0

3 years ago

Read 2 more answers

Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5. The geometric mean is a. . b.

choli [55]

Answer:

The geometric mean of given data is approximately 2.6051

Step-by-step explanation:

We are given the following data in the question:

1, 2, 3, 4, 5.

We have to find the geometric mean.

Formula:

$(a_1\times a_2\times... \times a_n)^{\frac{1}{n}}$

Putting the values, we get,

$\text{Geometric mean} = (1\times 2\times 3\times 4 \times 5)^{\frac{1}{5}}\\=(120)^{\frac{1}{5}} \approx 2.6051$

Thus, the geometric mean of given data is approximately 2.6051

4 0

4 years ago