Ask question

Ask question

All categories

3 years ago

13

Larry Mitchell invested part of his $34,000 advance at 2% annual simple interest and the rest at 3% annual interest. If his tota

l yearly interest from both accounts was $190, find the amount invested at each rate.

1 answer:

sladkih [1.3K]3 years ago

6 0

Answer:let the invstmt be X and Y

X+Y=34000

0.02X+0.03Y=890

0.02(34000-Y)+0.03Y=890

680-0.02Y+0.03Y=890

0.01Y=210

Y=21000

X=13000

Step-by-step explanation:

You might be interested in

Can you please help me solve and if you show work I would really appreciate it

Anettt [7]

You got the equations correct, great job on that!

Let "s" be the variable that represents how many shirts were bought. Let "p" represent the total price/cost.

Equation for the store at Town Center mall:

p = 80 + 3.5s (80 is base cost, and cost increases 3.5 per shirt)

Equation for the store in Arlington:

p = 120 + 2.5s (120 is base cost, and cost increases 2.5 per shirt)

We want to find a point where the systems are equal; thus, we are solving for a system of linear equations, and we already have the equations we need.

p = 80 + 3.5s

p = 120 + 2.5s

We know that variable "p" is equal for both equations; thus, we can combine both equations into:

80 + 3.5s = 120 + 2.5s

Subtract both sides by 2.5s

80 + 3.5s - 2.5s = 120 + 2.5s - 2.5s

80 + s = 120

Subtract both sides by 80

s = 40

Thus, both equations are equal when 40 shirts are bought.

To find the cost, use any of the two equations (or both) to find the total cost, which should be equal.

p = 80 + 3.5(40) = 220

p = 120 + 2.5(40) = 220

Thus, the total price/cost at both stores is $220.

Let me know if you need any clarifications, thanks!

8 0

3 years ago

Select the Ordered Pair which represents the origin. Question 5 options: (x, y) (0, 7) (5, 0) (0, 0)

sertanlavr [38]

the answe would be (0,0) because its the midel witch is also the origin

3 0

3 years ago

On average, Mercury is about 57,000,000 km from the sun , whereas Neptune is about 4.5*10^9 km from the sun. What is difference

lbvjy [14]

18,000,000 kilometers

4 0

3 years ago

HURRY PLS What is the solution to the system that is created by the equation y = 2 x + 10 and the graph shown below? On a coordi

marin [14]

Answer:

(-8, -6)

Step-by-step explanation:

When you graph the given equation on the given graph, you find the lines intersect at (-8, -6).

The solution to the system is (-8, -6).

__

The equation is given in slope-intercept form, so you can find the y-intercept (y=10) and draw a line with slope 2 from there. It will go through (-5, 0), so you know the solution lies in the 3rd quadrant and has an x-value less than -5. Only one answer choice matches.

5 0

3 years ago

Read 2 more answers

Find the area of the trapezoid.<br> b1=5<br> b2=7<br> h=4<br><br> PLEASE EXPLAIN TOO!

olga_2 [115]

Step-by-step explanation:

The formula for finding the area of a trapezoid is $\frac{b_{1} + b_{2} }{2}$ ×h

Start by substituting the values given in the problem into the formula

$\frac{5+7}{2}$ ×4

Now Simply/solve

$\frac{12}{2}$ ×4

6×4

24

The area of the trapezoid is 24 $units^{2}$

I hope this helps!!!

4 0

3 years ago

Read 2 more answers