Answer:
Step-by-step explanation:
Let x represent the amount invested at 6%. Then the amount invested at 12% is 4x+249. Sherrie's interest is ...
0.06x +0.12(4x +249) = 988.92
0.54x + 29.88 = 988.92
0.54x = 959.04
x = 959.04/0.54 = 1776
4x+249 = 7353
__
Sherrie invested $1776 at 6% and $7353 at 12%.
Answer: 200
Step-by-step explanation:
First I would do it like this.
12.5
X. 16
—————-
6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.
12.5
X 16
—————
750
+ 1250
——————-
Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.
Answer:
The equation in standard form that models area of pumpkins is:

and the area is: 
Step-by-step explanation:
Given that the garden has corn and pumpkins
The expressions are:
Total area of garden: 
Area of Corn: 
Area of Pumpkins: 
The sum of areas of corn and pumpkins is the total area of the garden.
It can be expressed mathematically as:

If we have to find the area of pumpkins,

Putting the values

The equation in standard form that models area of pumpkins is:

and the area is: 
Answer:
the second option : 5 1/3
Step-by-step explanation:
the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a
h = 4
the formula is h = sqrt(a×b)
with a and b being the baseline segments.
so,
4 = sqrt(3×a)
16 = 3×a
a = 16/3 = 5 1/3
Answer:
Discount = $290.76 × 0.2 = $58.15
Cost After Discount = $290.76 - $58.15 = $232.61
Sales Tax = 0.0625 × $232.61 = $14.56
How Much You Pay = $232.61 + $14.56 = $247.17
Step-by-step explanation:
Discount:
290.76 × 0.2* = 58.152
Round that to 58.15
* Turn 20% into a decimal (0.2)
Cost after Discount:
290.76 - 58.15 = 232.61
Sales Tax:
First turn 6.25 % into a decimal. Which would be 0.0625.
0.0625 × 232.61* = 14.556875
Then we round to the nearest hundredth and you get 14.56.
* We us the amount after the discount instead of the original price.
How much you pay:
232.61 + 14.56 = 247.17