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2 years ago

I'm having a hard time completing Task 2 of d. and e. Please answer them.

Mathematics

1 answer:

My name is Ann [436]2 years ago

8 0

Step-by-step explanation:

In part (d), we are shown how the sum of consecutive integers can be found. The sum is:

S = n (x + y) / 2

where n is the number of integers, x is the first integer, and y is the last integer.

We want to use this formula to find the sum of the numbers 101-110. We know there are 10 numbers between 101 and 110, so n = 10.

S = 10 (101 + 110) / 2

S = 1055

We used deductive reasoning to find the answer.

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The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?

WINSTONCH [101]

Answer:

94.2 ft of fencing

Step-by-step explanation:

To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.

Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.

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2 years ago

Using the probability scale, what is the probability that a spinner with 4 equal parts numbered 1-4 will land on the 1 on the ne

Greeley [361]

Answer:

Step-by-step explanation:

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1 year ago

The stock market gained 45 points on Tuesday and lost 32 points on Wednesday. It had closed on Monday at 2760 points. Where did

Svetllana [295]

Answer:

The market closed with a rating of 2773 points on Wednesday.

Step-by-step explanation:

Lets start with what we know:

Monday at close it had a rating of 2760 points.

Tuesday it gained 45 points.

Wednesday it had lost 32 points.

Once written out it becomes less intimidating to answer.

Monday + Tuesday + Wednesday = Answer

2760 + 45 - 32

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= 2773

7 0

2 years ago

Read 2 more answers

You bought a car 3 years ago for $12000. If its value decreases by 17% each year, how much is your car worth now?

Mrac [35]

Answer: $‭6,861.44

Step-by-step explanation:

Car was bought 3 years ago for $12,000.

Value decreases by 17% every year.

Current value is:

= 12,000 * (1 - 17%)³

= $‭6,861.44

8 0

2 years ago

Show work and explain with formulas.

Juli2301 [7.4K]

20 Answer: a₁ = 4

Step-by-step explanation:

$a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1$

21 Answer: n = 13

Step-by-step explanation:

$a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n$

22 Answer: n = 5

Step-by-step explanation:

$a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n$

6 0

2 years ago

Read 2 more answers