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AveGali [126]
3 years ago
8

If the future value of an annuity due is $25,000 and $24,000 is the future value of an ordinary annuity that is otherwise simila

r to the annuity due, what is the implied discount rate?
a. 1.04%
b. 4.17%
c. 5.00%
d. 8.19%
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0
Future value of annuity due can be calculated using the following rule:
FVAD = FVOA x (1+r)
where:
FVAD is the future value of annuity due = $25,000
FVOA is future value of ordinary annuity = $24,000
r is the discount rate we want to calculate

Substitute with these givens in the above equation and get r as follows:
<span>$25,000 = $24,000 × (1 + r)
r = 0.0417 which is equivalent to 4.17%
</span>
Answer: b) 4.17%
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Answer:

\boxed{x

Step-by-step explanation:

-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x

3 0
3 years ago
Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue p
GuDViN [60]

Answer:

9 cans of white paint

Step-by-step explanation:

To solve this you can set up a ratio.

The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

\frac{3}{2}  = \frac{?}{6}

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.

6 0
3 years ago
Rename 3/10 and 2/3 using the least common denominator.
Charra [1.4K]

Answer:

LCD = 30

3/10 = 9/30

2/3 = 20/30

Step-by-step explanation:

This is the answer because:

1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30

2) Next, multiply the numerators with the same number you multiplied with the denominator    

3 x 3 = 9

2 x 10 = 20  

3) Therefore, the answers are:

3/10 = 9/30

2/3 = 20/30

Hope this helps!

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Is (-5,2), (5,2), (0,-3), (3,-8), (-7,4), (-1,-1) a function
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<h3>Answer: Yes it is a function</h3>

Each point listed is of the form (x,y). The x coordinate is always listed first. We dont have any repeat x values, so this is enough to conclude we have a function.

If you wanted to, you could graph each point given on the same coordinate grid. Note how none of the points stack on top of each other. Or put another way, note how it is impossible to draw a single straight line through more than one point graphed. This graph passes the vertical line test.

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If you had two points like (5,2) and (5,7) then the input x = 5 leads to more than one output y = 2 and y = 7 at the same time, making this example not a function.

4 0
3 years ago
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