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3 years ago

A discount voucher offering 15% off is sued to pay a bill

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Answer:244.8

Step-by-step explanation:

15% of y=36.72

15/100 x y=36.72

15y/100=36.72

Cross multiply

15y=36.72 x100

15y=3672

Divide both sides by 15

15y/15=3672/15

y=244.8

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Can someone help me

Rama09 [41]

Answer:

There is no solution

Step-by-step explanation:

The lines never touch each other

7 0

3 years ago

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

A pair of numbers that can be used to locate a point on a coordinate plain

Blizzard [7]

Answer:

(5,2)

Step-by-step explanation:

6 0

3 years ago

What is the first step in solving the equation x2 - 25 = 0?

Finger [1]

Answer:

first step - make x² the subject of the formula

x² = 25

second step :

find the square root of both sides

√x² = √25

x = 5

Step-by-step explanation:

5 0

3 years ago

The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 90 inches comma and a standard

Debora [2.8K]

Step-by-step answer:

standard deviation (sigma) = 12 inches

mean (mu) = 90 inches.

For 36 years, the standard error of the mean is

e = sigma / sqrt(n) = 12" / sqrt(36) = 2".

Deviation from the mean

= 92.8 -90 = 2.8

Since the standard error of the mean follows the normal distribution, we have

Z=(92.8-90)/2 = 1.4

Looking up the normal distribution tables, or check R, we find

P(Z>1.4) = 1-P(Z<1.4) = 1-0.9192433 = 0.08075666

Answer: P(snowfall>92.8) = 0.0808 (to four decimal places)

3 0

3 years ago