Every year on November 1, the Stablo family plants a tree. This tradition has
happened for generations and the first tree the family planted is now 183 years
old. Two of the trees were planted in their backyard; one is an apple tree and the
other is a maple tree. The maple tree is older than 100, but was not the first tree
planted. On November 1 of this year, the age of the maple tree is fifteen times
the age of the apple tree.
On November 1 of some year from now, the age of the maple tree will be eleven
times the age of the apple tree. How old are the trees that year?

Answer:

C

Step-by-step explanation:

The expression that uses the commutative property is 3/5 × 25 × 1/4

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Given is an expression 3/5 × 1/4 × 25

We know that,

The commutative property of multiplication states that:

A × B × C = B × C × A

Using the above equation, we have the result of the commutative property to be:

3/5 × 1/4 × 25 = 3/5 × 25 × 1/4

Hence, the expression that uses the commutative property is 3/5 × 25 × 1/4

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Answer:

2.576

Step-by-step explanation:

Given :

Confidence level (α) = 99%

Z(1 - α)/2 = Z(1 - 99%)/2

Z1%/2 = Z1%/ 2

Z0.5% = Z0.005

Z(0.99 + 0.005) = Z0.995

Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57

Similarly, using the Invnorm calculator function :

Invnorm(0.995) gives a Zscore of :

2.576

Answer:

f(x), Red Line: m = -½; b = 2

g(x), Blue Line: m = ⅓; b = -1

h(x), Green Line: m = 3; b = 0

Step-by-sep explanation:

✍️Note the following:

✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.

f(x), Red Line:

Using 2 points on the red line, (6, -1) and (8, -2)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]

m = -½

The red line intercepts the y-axis at y = 2, therefore:

b = 2

g(x), Blue Line:

Using 2 points on the blue line, (0, -1) and (3, 0)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]

m = ⅓

The blue line intercepts the y-axis at y = -1, therefore:

b = -1

h(x), Green Line:

Using 2 points on the green line, (0, 0) and (1, 3)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]

m = 3

The green line intercepts the y-axis at y = 0, therefore:

b = 0.

Answer:

Nine pieces

Step-by-step explanation:

If you multiply the 3/4 pieces until the denominator is equal to twelve the numerator would be nine

Answer:

16

Step-by-step explanation:

parentheses first: 10-6 which is 4^2 or 16.

Hope this helps :D

Answer:

(-5p + 2)(-p + 10)

Step-by-step explanation:

[tex]5p^{2}[/tex]-52p + 20

(-5p + 2)(-p + 10)

You can double check this by using the distributive property..

-5p * -p = -5p^2

2*-p = -2p

10*-5p = -50p

10*2 = 20

-5p^2 + -2p + -50p + 20

Now we combine like terms and simplify

-5p^2 -52p + 20

So, we are correct

Answer:

Answer: 19.2

Step-by-step explanation:

To calculate percentage, multiply the number 80 by 0.24, and the answer is 19.2.

Answer:

D would be the actual answer.

Step-by-step explanation:

Answer:

It will take 2 1/2 years

Step-by-step explanation:

Using simple interest, it is found that it will take 2.5 years for the account to reach $713.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]713 = 620(1 + 0.06t)[/tex]

[tex]1 + 0.06t = \frac{713}{620}[/tex]

[tex]0.06t = 1.15 - 1[/tex]

[tex]0.06t = 0.15[/tex]

[tex]t = \frac{0.15}{0.06}[/tex]

[tex]t = 2.5[/tex]

It will take 2.5 years for the account to reach $713.

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Answer:

138

Step-by-step explanation:

120+15%=138

Answer:

138

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer there is no choice, but it is x+1/3+2 1/2.

Step-by-step explanation:

Answer:

The answer is x + 2 5/6.

Step-by-step explanation:

Emilie rides her bike x miles before it gets a flat tire.

She walks 1/3 mile to a bus stop and then goes another 2 1/2 miles or 5/2 miles on a bus.

The equation would be:

x + 1/3 + 2 1/2

But, since that isn't an option, we have to simplify the equation.

x + 1/3 + 5/2

= x + [tex]\frac{2+15}{6}[/tex]

= x + 17/6

= x + 2 5/6

Thus, the answer is x + 2 5/6.

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

Answer:

The correct answer is 748.72

Step-by-step explanation:

$748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

The loan amount that the lender gave to the borrower is referred to as the primary amount. Also, it is the factor the lender uses to calculate interest.

Please be aware that the amount you pay toward your loan's principal is without the interest that is charged on that amount. Your lender determines how much interest customers will pay over a specific length of time based on the amount still owing. The principle amount is simply the amount you owe their lender before interest.

principal amount =  4.75% of  $1,678.93

                           =  4.75% ×  $1,678.93

                           = $748.72

Therefore, $748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

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Answer:

4x-2x-6=8

2x-6=8

2x=8+6

2x=14

x= 14/2

x= 7

Answer:

X=7

Step-by-step explanation:

4x-2(x+3)=8

4x-2x-6=8

2x=8+6

2x=14

X=7

I think it's b. Not completely sure though. I hope you get it right though. If i happen to be right i would love to be picked brainliest.

Answer:

Erin

Step-by-step explanation:

Z score formula:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Candice:

Z score = 74 -66/4

Z score = 2

For Erin

Z score = 58 - 42/7

Z score = 2.28571

Erin z score is larger hence, he did better

Answer:

That should be 11.99+35.50+6.75+3+ 7.15% of EACH of those items added together minus 11.99+35.50+6.75+3+ 6.35% of EACH of the same items added together

Answer: point B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)

I hope this helps and good luck!

Answer:

The answer is "p= $5,246".

Step-by-step explanation:

Using formula:

Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)

[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]

[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]

Answer:

quadrant 4

Step-by-step explanation:

Answer:

-32ft

Step-by-step explanation:

Given parameters:

Original depth of the submarine  = -18ft

New depth  = -50ft

Unknown:

Change in depth = ?

Solution:

 The change in depth will be the difference in depth between the new and original depth.

 Change in depth = New depth  - original depth

  Change in depth  = -50ft - (-18ft) = -32ft

The change in depth of the submarine is -32ft.

Answer:

24

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

First you need to find the radius, the key term to find the radius is diameter=2⋅radius ; therefore the radius r is 122=6 inches. To find the area of a circle, you need to use the formula A=π⋅r2 ; therefore the area A is π⋅62≈113 square inches.

Answer:

The answer is 3,614. If you have 3900 dollars and withdraw ( take away) 300 you subtract, and you EARN 14, so you add.

Step-by-step explanation:

The reasoning is in the calculator picture attached

Answer:

82% of 50 (41) 36% of 125 (45) 170% of 30 (51) 65% of 80 (52)

Step-by-step explanation:

BRAINLIEST PLS

Answer:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Step-by-step explanation:

Given

[tex]y = 6x - 27[/tex]

[tex]y = 2x - 7[/tex]

Required

Determine the point of intersection

We simply equate both equations; i.e.

[tex]y = y[/tex]

or

[tex]6x - 27 = 2x - 7[/tex]

Collect Like Terms

[tex]6x - 2x = 27 - 7[/tex]

[tex]4x = 20[/tex]

Solve for x

[tex]x = 20/4[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in [tex]y = 2x - 7[/tex]

[tex]y = 2 * 5 - 7[/tex]

[tex]y = 10- 7[/tex]

[tex]y = 3[/tex]

Hence, the point of intersection is:

[tex]x = 5[/tex]; [tex]y = 3[/tex]