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Flura [38]
3 years ago
7

Find the sum of the first 100 terms of the sequence below: -19, -15, -11, -7, -3, ... S100

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

17900

Step-by-step explanation:

First term a = -19

common difference d = -15-(-19) = 4

number of terms, n = 100

sum of first 100 terms,

n/2(2a+(n-1)d)

= 100/2(2×(-19)+(100-1)4)

= 50×(-38+99×4)

= 50×358

= 17900

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7. Find the amount of money accumulated if you invest $10,000 at 3% interest compounded continuously for 2 years. Round your
IrinaK [193]

Answer:

$10618.37

Step-by-step explanation:

Use the formula for compound interest:

P(t) = P_0e^(rt)

You can look the formula up online to find what each variable represents.

First, our principal amount (P) is 10,000. Our interest rate (r) is 3% and our time (t) is 2. Substitute these into the equations in each variables' place. The equation will look like this:

P(t) = 10,000e^(0.03x2)

P(t) = 10,000e^(0.06)

Note that e is approximately 2.7183 .

Using your calculator, now simply find P(t).

You should get 10618.36972 as your answer. Round that to the nearest cent to get $10618.37 .

4 0
3 years ago
11 times a number increased by 2 is the same as 6 more than 9 times the number. Find the number.
7nadin3 [17]
11x+2 = 9x+6. Subtract 2 from both sides. 11x = 9x+6. subtract 9x from both sides. 2x = 4, divide both sides by 2. x = 2. Substitute the x with 2 and check to see it it works. The numbers should equal each other.
8 0
3 years ago
PLEASE HELP ASAP !!!!! What would these be in scientific notation ?
Zarrin [17]

\text{the scientific notation}\\\\a\cdot10^n\ \text{where}\ 1\leq a < 10\ \text{and}\ n\in\mathbb{Z}

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4 0
3 years ago
Two sides of a triangle have lengths 6 cm and 6cm describe the possible lengths of the third side
Rashid [163]

Answer:

0 < x < 12

Step-by-step explanation:

Since it's given that side a and side b both have a length of 6, side c has to be  0 < x < 12.

6 0
3 years ago
Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instr
stepladder [879]

Answer:

Laurie's maximum depth can be represented using the expressions :

(20 × 3) = 60

(3 × 4 × 5) = 60

Step-by-step explanation:

Each depth level at which ears are checked = 5 feets

Each Depth level at which instruments are checked = 20 feets

For Laurie to check her instrument ;

Number of times ears are checked = 20/5 = 4 times

This means that for Laurie to have checked her instrument 3 times :

(4 × 3 × 5) = 60 feets

Therefore, Laurie's maximum depth can be expressed as (4 × 3 × 5) = 60 feets

4 0
2 years ago
Read 2 more answers
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