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ladessa [460]
2 years ago
11

An employee puts $3,000 into a retirement fund that offers 7% interest compounded annually. The employee makes no other deposits

or withdrawals. Which amount is closest to the interest that the employee will have earned after 4 years?
Mathematics
1 answer:
Nookie1986 [14]2 years ago
7 0

Answer:

$840

Step-by-step explanation:

Given data

Principal = $3000

Rate= 7%

Time= 4 years

The expression for the simple interest is

SI= PRT/100

substitute

SI= 3000*7*4/100

SI= 30*7*4

SI= $840

Hence the interest is $840

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A rectangular park is 5/6 miles wide and 1 5/7 miles long. What is the area of the park?
zysi [14]
1 3/7 or 10/7 I took the test aswell
3 0
3 years ago
You are walking along a path y= 2x + 12 and your
UNO [17]

Answer:

(-1,10)

Step-by-step explanation:

At the point when the paths cross, the respective x and y values of each equation will be equal.

Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:

4x+2x+12=6

6x=-6

x=-1

y=2x+12

y=2(-1)+12=10

So you will cross paths at (-1,10)

3 0
3 years ago
Please Help. 25 points. <br>​
vodomira [7]

Answer:

\boxed{x = 7, y = 9, z = 68}

Step-by-step explanation:

We must develop three equations in three unknowns.

I will use these three:

\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}

\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}

\boxed{\mathbf{ x = 7, y = 9, z = 68}}

4 0
3 years ago
What is the value of Z?
sukhopar [10]

Answer:

Step-by-step explanation:

Both x and y are inscribed angles.  The value of an inscribed angle is half the measure of its intercepted arc.  This means that x has a value of 33°, and y has a value of 48°.  That means that, according to the triangle angle sum theorem, the third angle has to equal 180 - 33 - 48 = 99°.

This angle is vertical with angle z, so angle z also equals 99°

5 0
3 years ago
A 35% sodium hydroxide solution is to be mixed with a 60% sodium hydroxide solution to obtain 20 liters of 40% sodium hydroxide
nydimaria [60]
0.35x + 0.60y = 0.40(x + y)   where x = vol. of 35% and y = vol. of 60%

x + y = 20

solve this system of equations

x  +  y =  20
-0.05x +0.20y = 0

this gives x = 16 and y = 4

so you need 16 L of 35% and 4 L of 60% solution.


3 0
3 years ago
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