Answer:
The amount that must be deposited is $ 19973.87.
Step-by-step explanation:
We have a relation between future value present value as:
F= P 
F=future value
P=present value
r=rate (as a decimal)
n=number of compounding periods per year
t=number of years
Now,
assume rate as 8%
35000= P 
or, 35000= P × 
or, P = 
or, P = $ 19973.87
So you must deposit $ 19973.87 today.
Answer:
She should order 96 orange shirts
Step-by-step explanation:
The picture is shown below.
From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.
If she assumes the trend is going to continue the number of orange she should order can be calculated below.
Let us find the ratio of orange shirt sold to the total colored shirt sold.
orange shirt sold / total colored shirt sold = 5/26
This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.
5/26 = x/ 500
cross multiply
2500 = 26x
divide both sides by 26
x = 2500/26
x = 96.15
x = 96 orange shirts
She should order 96 orange shirts
The one way to determine factors of x³ + 11x² – 3x – 33 will be 
.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
We will find the final solution as .
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be .
To learn more about the factorization refer to the link;
brainly.com/question/24182713
Answer:
Step-by-step explanation:
(285)=13p+108
177=13p
p= 13.62 lbs
