On January 1st, 2003, Gerry opened a savings account that paid 3. 25% annual interest. His initial deposit was $1,100. If Gerry didn’t deposit or withdraw any additional money, what was his balance at the close of December 31st, 2012?

Answer:

X = 81

Missing angle measurement = 73 Degrees

Step-by-step explanation:

Sense the angle presented is a strait angle, meaning it has an exact mesurment of 180°

You can take the known portion of 107° and subtract that from 180°, giving you 73°

To find X you take the missing angle's value and add 8, leaving you with 81

Answer for 1st question:

The answer is A. 4/20

Step-by-step explanation:

The probability of landing on a vowel would be 2/5.

The probability of landing on an even number would be 2/4.

Now we just need to solve the probability of landing on a vowel and an even number.

2/5 x 2/4 = 4/20.

Thereore, the probability of landing on a vowel and an even number is 4/20.

Answer for 2nd question:

The answer is B. 1/20

Step-by-step explanation:

The probability of landing on a C would be 1/5.

The probability of landing on a 4 would be 1/4.

Again, we just need to solve the probability of landing on a C and a 4.

1/5 x 1/4 = 1/20.

Therefore, the probability of landing a C and a 4 is 1/20.

Using it's concept, it is found that there is a 0.79 = 79% probability that he or she is content with the vacation allowance.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 500 - 105 = 395 out of 500 employees are content with the vacation allowance, hence:

p = 395/500 = 0.79.

There is a 0.79 = 79% probability that he or she is content with the vacation allowance.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

it should be cost, because when there is more quantity of something there will be less price.

The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic expression is given as

[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]

We know that formulas

[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]

Then we have

[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:

B

Step-by-step explanation:

Edge 2022

Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of ants and y represent the number of beetles. Hence:

x + 2y = 8   (1)

also:

x - y = -4   (2)

x = 0, y = 4

Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

Find out more on equation at: https://brainly.com/question/1214333

Answer:Lucy caught 0 ants and 4 beetles on tuesday which he added to his collection.

Step-by-step explanation:

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

More about the Algebra link is given below.

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10^4 micrometres

Step-by-step explanation:

the answer is in the image above

Answer:

Other than your answer...

Step-by-step explanation:

5^6 x 5^5

48,828,125

5^2 x 5^9

hope this helps :)

Answer:

20 i'ma say 20

Step-by-step explanation:

Explanation

Answer:

B) y = x+1

Step-by-step explanation:

the point is (2,3), so x = 2, y = 3

A. y = 3x.  
3 ≠ 3*2

B. y = x + 1.
3 = 2+1

C. y = -3x
3 ≠ -3*2

D. y = x-1
3 ≠ 2-1

Answer:

x - 40

Step-by-step explanation:

3[tex]x[/tex] = 120

[tex]\frac{3x}{3\\}[/tex] = [tex]\frac{120}{3}[/tex]

[tex]x[/tex] = 40

By the Vertical Angle theorem,

    ⇒ [tex]3x = 120[/tex] ⇒ [tex]x = 40[/tex]

Thus x = 40

Hope that helps!

Answer:

12% :)

Step-by-step explanation:

0.12 x 100 = 12%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

the answer is 12

Step-by-step explanation:

you toss the dice and coin let’s say it lands on 2 and heads there is one possibility. there is only 6 sides to the dice and 2 sides to a coin. 6 x 2 = 12.

Answer: coin = 26 sided die = 62 × 6 = 12

Step-by-step explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes. The answer would be 12. Hope that helps!!

Answer:

Explanation:

[tex]\sf \dfrac{20}{32} = \dfrac{20}{32} \ \div \ 1 = \dfrac{20\div 4}{32 \div 4} = \dfrac{5}{8}[/tex]

Follow the sequence. and divide the multiply the following fraction.

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Answer:

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

Step-by-step explanation:

When reducing fractions to their simplest equivalent, we need to divide the numerator and denominator by their highest common factor.

Factors of 20:   1, 2, 4, 5, 10, 20

Factors of 32,    1, 2, 4, 8, 16, 32

Therefore, the highest common factor is 4.

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

Answer:

See below ~

Step-by-step explanation:

Writing the equation

Solutions

Answer:

D. 0

Step-by-step explanation:

|9 - 5| = |4|, which equals 4. |5 - 9| = |-4|, which also equals 4.

4 - 4 = 0.

If your answer is in absolute value and it is negative, the outcome will always be positive. Hope this helps.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex]16x-20y=0\implies -20y=-16x\implies y=\cfrac{-16x}{-20}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ 25y=20x\implies y=\cfrac{20x}{25}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ y=0.8x\implies y=\cfrac{8}{10}x\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x[/tex]

Answer:

4

Step-by-step explanation:

20-8 = 12

12/3 = 4

Step-by-step explanation:

a.

[tex]f(2) = 0[/tex]

b.

[tex]f(x) = 4 \\ f(5) = 4 \\ x = 5[/tex]

c.

[—3,2] union [3.4, 4]

Answer: II and III only (2 and 3 only)

Step-by-step explanation: took test and got it right

Answer: b) slope: -1, y-intercept 12

Step-by-step explanation:

The equation here is in slope-intercept form (y=mx+b)

In slope-intercept form m is the slope and b is the y-intercept

m=-1 and b=12 so the answer is b

slope: -1, y-intercept: 12

Hope it helps.

Do comment if you have any query.

Answer:

50 degrees

Step-by-step explanation:

All of the angles in the picture need to add up to 180 degrees.

<TVU = 30 degrees, so the 3 remaining angles need to add up to 150 degrees.

<QVR is = to <RVS  and <RVS is = to <SVT, so all 3 angles are = to each other

<QVR = <RVS = <SVT

We have 150 degrees remaining & all 3 angles have to be the same, so each angle is 50 degrees

                                        Add the values together

                                                     8 + 9 + 4

                                                          21

An equation is formed of two equal expressions. The equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The additive identity property states that any number when added to 0, the result is the number itself. Therefore, the equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).

Learn more about Equation:

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Answer: B on edge

Step-by-step explanation:

Step-by-step explanation:

4.since two sides are congruent and two angles are equal so they are similar and we can say:

[tex] \frac{14}{42} = \frac{7}{x} \\ x = 21[/tex]

DF is 21

5.since two sides are congruent and two angles are equal so they are similar and we can say:

[tex] \frac{6}{9} = \frac{10}{x} \\ x = 15[/tex]

EF is 15

6.

[tex]since \: \: \frac{4}{20} = \frac{6}{30} \: \: so \: we \: can \: say \: they \: are \: similar \: so \: we \: have \\ \\ \frac{4}{20} = \frac{5}{x} \\ \\ x = 25[/tex]

DF is 25

Answer:

239

Step-by-step explanation:

239 because do the answers in the parenthesis first then do the rest.

Answer:

60000

Step-by-step explanation:

Answer:

16

Explanation:

Let "x" be the number

===========

→ integers less than 17 are 16, 15, 14, 13, 12, 11, 10, 9, ...

⇒ integers are whole numbers, not negative, does not include decimals or fractions.

So,

16 is the largest integer which is less than 17