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Anton [14]
3 years ago
10

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now, in about how many years w

ill it take to reach $20 per month? Use the equation 20 = 8(1.2)x to solve the problem. Round to the nearest year.
Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

6 years

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:

Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8

Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:

To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x

x = 6 years to the nearest year
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What is the length of a diagonal and area of a rhombus, if the length of its side is 10 cm, and the length of the other diagonal
Brrunno [24]

The side of a rhombus and the half-diagonals form a right triangle. The length of the other half-diagonal is found from the Pythagorean theorem to be

... d = √((10 cm)² -(6 cm)²) = √(64 cm²) = 8 cm

The length of the other diagonal is 16 cm.

The area is half the product of the diagonal lengths, so is

... area = (1/2)(12 cm)(16 cm) = 96 cm²

4 0
3 years ago
Read 2 more answers
Which of the following correctly graphs the system of equations?<br><br> {y=x−3<br> y=−2x+3
8_murik_8 [283]

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

4 0
3 years ago
Trevor thinks that left-handed pitchers in a baseball league are more likely to strike out batters than right-handed pitchers ar
Scilla [17]

Answer:

C. H0: PL - PR = 0

Ha: PL - PR > 0

The null hypothesis for this case is that left-handed pitchers in a baseball league are not more likely to strike out batters than right-handed pitchers are. That is the proportion of at-bats resulting in a strikeout is significantly equal for both left-handed and right-handed pitchers.

H0: PL - PR = 0

The alternative hypothesis is that the proportion of at-bats resulting in a strikeout is significantly higher for left-handed pitchers

Ha: PL - PR > 0

PL - proportion of at-bats resulting in a strikeout for left-handed pitchers

PR - proportion of at-bats resulting in a strikeout for right-handed pitchers

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

The null hypothesis for this case is that left-handed pitchers in a baseball league are not more likely to strike out batters than right-handed pitchers are. That is the proportion of at-bats resulting in a strikeout is significantly equal for both left-handed and right-handed pitchers.

H0: PL - PR = 0

The alternative hypothesis is that the proportion of at-bats resulting in a strikeout is significantly higher for left-handed pitchers

Ha: PL - PR > 0

PL - proportion of at-bats resulting in a strikeout for left-handed pitchers

PR - proportion of at-bats resulting in a strikeout for right-handed pitchers

8 0
4 years ago
Solve 5/7x=-25<br> The solution is x= ?
Bad White [126]
The answer To this is x=-35
4 0
3 years ago
Order from least to greatest 12% of 60 55% of 220 400% of 18
frez [133]

Answer:

12% of 60, 400% of 18, 55% of 220

Step-by-step explanation:

12% of 60 =7.2

55% of 220 = 121

400% of 18 = 72

7.2, 72, 121

8 0
3 years ago
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