Bradley has $48,350 in a savings account that earns 3% interest per year. How much will he have in 24 months?

Answer:

Step-by-step explanation:

First, let’s flip the first term.

2^-x = 8^2-x

we can take ^3 out of the 8 to simplify

2^-x = 2^3(2-x)

-x = 3(2-x)

Now we solve for x.

x = 6

Hope this helps!

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

For more information about ratio and proportion,

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[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]

x = -0.89

Step-by-step explanation:

when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.

How I solved it: (just another way to solve this)

9.10-8.20=0.89

since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.

Answer:

the answer : a

equation : 35 = x

35 = 7

35/7 = 5

5-2 = 3

Hey there!

(35 ÷ x) - 2

= (35 ÷ 7) - 2

= (5) - 2

= 5 - 2

= 3

Therefore, your answer is: Option A. 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Answer:

a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1

Step-by-step explanation:

perpendicular slopes multiplied by each other would be -1

-1/3 * 3 for a and both other lines is -1

that means a is perpendicular to both b and c

Answer: Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

angle KJL and LJK

is the answer i think

Answer:

2

Step-by-step explanation:

n = the smaller even integer

n +2 = the next even integer

The wording of the question translates into:

2n + (n+2) = -4

3n +2 = -4

3n = -6

n = -2

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]

Answer:

1 oz of cream cheese to every 2 oz of condensed milk

Step-by-step explanation:

We can completely disregard whipped topping because it does not ask for it.

We have 6 ounces of cream cheese to 12 ounces of condense milk. We can write this as a ration:

6:12

6 oz cream cheese:12 oz condensed milk

The question is basically asking to simplify 6:12

Since the greatest commond factor is 6, we can divide both sides by 6 and get:

1:2

Therefore, there is 1 oz of cream cheese to every 2 oz of condensed milk

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

No Solution

Step-by-step explanation:

2x - 1 = 2x + 3 Combine the like terms.

0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.

The correct option is B which is 15 g.

Given to us:

the heat  [tex]Q= 350\ Joules[/tex],

the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],

the lower temperature [tex]t_1= 10^o C[/tex],

the higher temperature [tex]t_2= 30^o C[/tex],

Formula for specific heat:

[tex]Q=mc(\Delta T)[/tex]

where,

[tex]m[/tex] is the mass,

[tex](\Delta T)[/tex] is the temperature difference,

Putting in the values;

[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]

Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.

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Answer:

-1.33 degrees Celsius

Step-by-step explanation:

Divide -16 by 12.

Answer:

1500 words

Step-by-step explanation:

300 times 5 equals 1500.

Answer:

6

Step-by-step explanation:

Since .3 is below .5, you would not round 6 up to 7.

Answer:

x = 10

Step-by-step explanation:

8x - 12 and 6x + 8 are corresponding angles and are congruent , then

8x - 12 = 6x + 8 (subtract 6x from both sides )

2x - 12 = 8 ( add 12 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Answer:

They are asking for the SALE price, not the actual price.

28×0.2= $5.60

Answer:

See below

Step-by-step explanation:

No, a constant is a number without a variable ( variables are represented with a letter )

y is a variable as it is a letter.

The constant in y + 2z + 45 + 5x would be 45 as it has no variable.

Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

Answer:

3.46410161514

Step-by-step explanation:

It has a positive slope.

when it starts at the bottom left like that and goes up it is positive. :)

Answer:

y=√x

Step-by-step explanation: here are the steps

Answer:

-17

Step-by-step explanation:

it's telling you to replace x with -3.

You have to replace all the x's with -3.

(-3)2 + (-3) - 8 = -17

Answer:

  9. 23

  10. D

Step-by-step explanation:

In order to make the equation true, the blank must contain 23.

That statement, however, is an example of the commutative property of addition. The symmetric property says if a = b, then b = a.

__

Your calculator can tell you which expressions are equivalent to 25·18. Clearly, the sum in choice D is not a product that will be equivalent.

Step-by-step explanation:

(-a)⁴ / (-a)³ = -a

since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)

4 - 3 = 1

so, the exponent 1 remains.

it works also, if we process the exponents first

(-a)⁴ = a⁴

(-a)³ = -(a³)

a⁴/-(a³) = a/-1 = -a

Answer:

CB = 5, [tex]m\angle{BDA} = 23^\circ[/tex]

Step-by-step explanation:

Assuming that the marks next to angle D mean that [tex]\angle{BDA} \cong \angle{BDC}[/tex], then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).

Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.

4x + 1 = 9x - 4

Solving for x,

1 = 5x - 4

5 = 5x

1 = x

Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.

The two small angles at D are congruent, so [tex]m\angle{BDA}=23^\circ[/tex].