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3 years ago

How to solve 1100 increased by 4%

Mathematics

2 answers:

monitta3 years ago

7 0

1540 i think 1100 x 1.4 = 1540

Arlecino [84]3 years ago

6 0

4 percent of 1000 = 40 and 4 percent of 100 =4 so you have 1100 + 40 +4 =1144

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What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

EACH PAIR OF FIGURES IS SIMILAR. FIND THE MISSING SIDE!!!!

inessss [21]

Answer:

58.1 and 17

Step-by-step explanation:

For the first triangles the similarity ratio is 1:7 so x is 8.3 × 7 = 58.1

For the second triangles the similarity ratio is 1:5 so x is 3.4 × 5 = 17

8 0

3 years ago

Describe and correct the error in finding the value of the power.

love history [14]

Answer:

regular number; base

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

the germination rate for zinnia seeds is 78%. this means that 78 out of every 100 seeds will sprout and grow. if james wants 60

Harlamova29_29 [7]

Answer: 77 seeds

Step-by-step explanation:

Given: The germination rate for zinnia seeds =78%

Let x be the total number of seeds he planted, then

The seeds germinated= 78% of x

⇒The seeds germinated= 0.78x

If James wants 60 zinnia plants for his yard, then it will give the equation

$0.78x=60\\\Rightarrow\ x=\frac{60}{0.78}\\\Rightarrow\frac{6000}{78}\\\Rightarrow\ x=76.92307\aprrox77$

Hence, he should plant 77 seeds .

5 0

3 years ago

Andre has seven dollars he needs $50 to buy a skateboard each week his grandmother pays him four dollars to complete some chores

SVEN [57.7K]

Answer:

$11

$39

Step-by-step explanation:

Amount Andre has = $7

Amount his grandmother pays him every week = $4

Amount Andre needs to buy a skateboard = $50

how much money does Andre have after the week?

Amount of money Andre has after the week = Amount Andre has + Amount his grandmother pays him every week

= $7 + $4

= $11

Amount of money Andre has after the week = $11

Amount Andre needs more to buy the skateboard = Cost of the skateboard - Amount of money Andre has after the week

= $50 - $11

= $39

Amount Andre needs more to buy the skateboard = $39

6 0

3 years ago