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3 years ago

Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?

Mathematics

2 answers:

lions [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

20 dollars plus 10% = 22

Dominik [7]3 years ago

5 0

22 divided by 1.1 which is 20

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-5+3
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2 years ago

Austin is saving money to buy a game. the game costs $20 , and so far he has saved four-fifths of this cost. how much money has

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3 years ago

Bryce has 135 feet of rope. He wants to cut it into pieces that are each 9 feet long. How many pieces of rope will Bryce have?

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3 years ago

Read 2 more answers

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

The temperature was 6 degrees at midday.

Georgia [21]

Answer:

2 & 3

Step-by-step explanation:

they both equal -7

the temp dropped 7 degrees

8 0

2 years ago