All categories

3 years ago

4.

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

$12600

Step-by-step explanation:

If x represents the total investment, then the total interest is ...

(x/3)(0.02) +(x/3)(0.07) +(x/3)(0.08) = 714

x(.17) = 2142 . . . . multiply by 3; collect terms

x = 2142/0.17 = 12600

The total investment was $12,600.

You might be interested in

the ratio of pink marbles to white marbles in samara's bag is equal to 1:5. What percent of the bag contains pink marbles?

maxonik [38]

The ratio of the pink to white marbles is 20%

7 0

3 years ago

Find the solution of this system of equations 5x - 6y =-90 -10x - 6y =-90

ExtremeBDS [4]

5x - 6y = -90

-10 x - 6y = -90

Subtracting,

15x = 0

x = 0

y = -90/(-6) = 15

Answer: x=0, y=15

8 0

3 years ago

Plssss help due today

asambeis [7]

160-80 = 80

80/2 = 40

angle BCD = 40 degrees

please mark brainliest

6 0

3 years ago

Help pls! 10 points!!

zheka24 [161]

Answer:

A. The perimeter of the original figure is multiplied by 3 ,and the area is multiplied by 9.

(9=3²)

it is a rule in the dilation course:

5 0

3 years ago

1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

8 0

3 years ago