please help me, i only get 2 chances to answer, and this is my last change, and i need help with math so bad

Theodore invests a total of $17,500 in two accounts paying 2% and 12% annual interest, respectively. How much was invested in ea

iVinArrow [24]

Answer:

11,500 at 2% and $6,000 at 12%.

Step-by-step explanation:

Let x represent amount invested at 2% and y represent amount invested at 12%.

We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:

$x+y=17500...(1)$

$x=17500-y...(1)$

We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.

Interest earned at 2% in one year would be $0.02x$ .

Interest earned at 12% in one year would be $0.12y$

$0.02x+0.12y=950...(1)$

Upon substituting equation (1) in equation (2), we will get:

$0.02(17500-y)+0.12y=950$

$350-0.02y+0.12y=950$

$350+0.10y=950$

$350-350+0.10y=950-350$

$0.10y=600$

$\frac{0.10y}{0.10}=\frac{600}{0.10}$

$y=6000$

Therefore, Theodore invested $6,000 at 12%.

Upon substituting $y=6000$ in equation (1), we will get:

$x=17500-6000$

$x=11500$

Therefore, Theodore invested $11,500 at 2%.

5 0

3 years ago

Help with this math question please

kvv77 [185]

First question.

We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:

$V_{t} = V_{g}+V_{r} = 8 \times 3 \times 5 + 8 \times 5 \times 8 = 440 ft^{3}$

So the answer is G.

Second question

The answer is D. Let's analyze it:

Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:

$n = r^{2}+1$

$n=2^{2}+1=5$
$n=4^{2}+1=17$
$n=5^{2}+1=16$
$n=8^{2}+1=65$
$n=10^{2}+1=101$

These are the values of n shown in the table above.

6 0

3 years ago

deposits \$700 into an account that pays simple interest at a rate of 6\% per year. How much interest will he be paid in the fir

Virty [35]

Answer:

$210

Step-by-step explanation:

pnr/100

700×6×5/100

$210

5 0

3 years ago

Can someone please explain why this is incorrect? Isn’t (2x+5)(x+1) the same as (x+1)(2x+5)?

Ne4ueva [31]

Answer:

2(2x+5) (x+1) = 2(x+1)(2x+5)

Step-by-step explanation:

4x^2 +14x+10

Factor out the 2

2(2x^2 +7x+5)

2(2x+5) (x+1)

You need to keep the 2 that you factored out

2(2x+5) (x+1) = 2(x+1)(2x+5) by the Commutative Property of Multiplication

4 0

3 years ago

Tony wants to calculate his average quiz score. The formula gives Tony’s average score A for a total of T points on n quizzes. T

Gnoma [55]

In calculating the average score, add the scores of each person and then divide it by the number of scores present. In this problem, Tony has forty seven points for five different quizzes. You are required to calculate for the average score of Tony. The formula is A = T/n, where A is the average score, T is the score, and n is the number of quizzes.

A = T/n
A = 47/5
<u>A = 9.4</u> <span>
Therefore, Tony has an average of 9.4 points in five different quizzes. </span>

6 0

2 years ago