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Harman [31]
3 years ago
10

The solution a+b>-9 is a >-25. What is the value of b

Mathematics
1 answer:
maria [59]3 years ago
5 0

Answer: b > 16

Step-by-step explanation:

Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.  

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You deposit $2000 into an account that pays 6% compounded monthly. a. How much money will you have in the account after 1 year?
Masteriza [31]

We have a deposit of $2000 into an account that pays 6% compounded monthly, after a year we will have:

\begin{gathered} \text{account}_{\text{year}}=2000\cdot(1+\frac{6}{100})^{12} \\ \text{account}_{\text{year}}=4024.4 \end{gathered}

The effective annual yield (EAY) will be:

\text{EAY}=\frac{account_{year}}{2000}-1=\frac{4024.14}{2000}-1=1.0122

The EAY is 101.22%

8 0
1 year ago
Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and roun
maxonik [38]
V = pi r^2 h
v = 3.14 * 5^2 * 15
v = 3.14 * 25 * 15
v = 1177.5 in^3
7 0
3 years ago
This question is confusing. Please help me!
patriot [66]

Answer:

C. 490.

Step-by-step explanation:

25% = 0.25.

If the number of emails that Ryan and Taylor each received  is x emails then Sara received  2x + 0.25 * 2x = 2.5 emails.

So 2x + 2.5x = 882

x = 882/4.5

x = 196.

So Sara received 2.5 * 196

= 490 emails.

5 0
3 years ago
Explain how modeling partial products can be used to find the products of greater numbers.
beks73 [17]
<span>It is easier to multiply. For example: 63 multiply by 7
</span><span>63 x 7 = (60+3) x 7 =  60 x 7 + 3 x 7 =  420 + 21  =  441
</span>
Another example : <span>25 x 73
</span>25 x 73 = (20+5) x (70+3) = 20 x 70 + 20x3 + 5x70 + 5x3

                                         = 1400 + 60 + 350 + 15           =  1875


8 0
3 years ago
Given: ABCD is a ∥-gram; DE ∩ AB =F <br> Prove: △ADF∼△CDE
Vedmedyk [2.9K]

Answer:

By AA similarity

Step-by-step explanation:

We have been given that ABCD is a parallelogram

So, by the property of parallelogram AB ||CD and FD is cutting the line BC

Hence, FD is transverse line. In transverse line alternate angles are equal.

Therefore, ∠AFD=∠EDC  (alternate interior angles)

And ∠FAD=∠ECD (opposite angles in parallelogram)

Therefore, by AA similarity △ADF∼△CDE

5 0
3 years ago
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