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Snowcat [4.5K]
3 years ago
13

Lim (h->0) (sqrt(25+h)-5)/h.

Mathematics
1 answer:
motikmotik3 years ago
5 0
\lim_{h \to 0}  \frac{ \sqrt{25+h} -5}{h}= \frac{0}{0}
We have to multiply numerator and denominator by: √(25-h)+ 5:
\lim_{h \to 0}  \frac{ \sqrt{25+h}-5}{h}* \frac{ \sqrt{25+h} +5}{ \sqrt{25+h}+5}  = \\  \lim_{h \to 0}  \frac{25+h-25}{h( \sqrt{25+h}+5) }  = \\  \lim_{h \to 0}  \frac{1}{ \sqrt{25+h} +5} =   \\ = \frac{1}{5+5}== 1/10 = 0.1
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Calculate the future value of $7,000 earning 6% interest compounded quarterly for 7 years. (Round your answer to two decimal pla
qwelly [4]

Use the compound interest formula.

Let A = the ending amount

Let P = the principal

Let r = the interest rate

Let n = the amount compounded a year

Let t = time

A = P(1 + r/n) ^(n/t)

Substitute your numbers in

A = $7,000(1 + 0.06/4)^(4/7)

Solve for A

A = $7,059.81

7 0
3 years ago
What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?
mel-nik [20]

Answer:

interest rate = 2.9%

Step-by-step explanation:

the principal is $25,000, the interest is $10,875

Number of years = 15

We use simple interest formula

I = P*r*t

Where I is the interest amount=10,875

P is the principal amount= 25000

r is the interest rate = r

t is the number of years = 15

Plug in all the value in the formula

I = P*r*t

10875 = 25000 * r * 15

10875 = 375000 * r

Divide both sides by 375000

r=0.029

We always write rate of interest in percentage so we multiply by 100

0.029 * 100= 2.9%

So interest rate = 2.9%



8 0
2 years ago
In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC. Andre has written a
Dahasolnce [82]

Answer:

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I tried hard to sketch out what the shape looked like based on the information given, and that's because I need a visual of what the shape looks like. Sorry, this took so long to answer.

5 0
8 months ago
The standard tip in a restaurant is 15% of the bill before tax. Many people in California find the tip by doubling the sales tax
cricket20 [7]
To answer this you could do a couple things. 1. Actually calculate both tips and then subtract them. Here is the math ( assuming it is $60, not 60% that you mean). a. 0.15 x 60 = $9. b. 0.0825 x 2 x 60=$9.90. c. 9.90-9.00= $0.90 difference.

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3 0
3 years ago
Solve: a/3= 5<br><br> what is a?
svp [43]

Answer:

a = 15

Step-by-step explanation:

This is your given:

       \frac{a}{3} = 5

You are going to want to get a alone to get what a equals.

\frac{a}{3} = 5

a = 5x3  Multiply 3 on both sides to get the a alone

a = 15

7 0
3 years ago
Read 2 more answers
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