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2 years ago

Charlie deposits $1,000 on the first day of each year into his investment account. The

Mathematics

1 answer:

scoray [572]2 years ago

6 0

Answer:

The answer is $16,645

Step-by-step explanation:

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Given the expression 12 over 12 to the third power.

4vir4ik [10]

Part 1:
Before we begin, you need to remember the following rule:
$\frac{x^a}{x^b} = x^{a-b}$

The given expression is:
$\frac{12}{12^3}$

Since the base is the same in both numerator and denominator, we can apply the above rule. This means that:
$\frac{12}{12^3}$ = 12¹⁻³ = 12⁻²

Part 2:
Before we begin, you need to remember the following rule:
x⁻ᵃ = $\frac{1}{x^a}$

Now, from part 1, we simplified the expression into 12⁻²
Since the power is negative, we can apply the above rule.
This means that:
12⁻² = $\frac{1}{(12)^2} = \frac{1}{12*12} = \frac{1}{144}$

Hope this helps :)

5 0

3 years ago

Read 2 more answers

A box of cereal states that there are 78 calories in a three fourths cup serving. What is the unit rate for calories per cup?

ladessa [460]

Answer:

See below.

Step-by-step explanation:

Unit rate = 78 / 3/4

= 78 * 4/3

= 26*4 (because 78 / 3 = 26)

= 104 calories per cup

There are 2 * 104 = 208 calories in 2 cuos of cereal..

4 0

2 years ago

Read 2 more answers

According to the general equation for conditional probability, if P(A n B) = 3/10 and P(B)= 2/5 what is p(alb)

Natali5045456 [20]

Answer:

P(A given B) = 3/4

Step-by-step explanation:

As we know that it is conditional probability, where the probability of an event depends on the event that has certain probability of occurrence.

The formula for conditional probability is:

P(A given B) = P(A ∩B) / P(B)

Where a and B are events. The probability of event B is known and we also know probability of A∩B

So, putting the values in the formula:

$P(A\ given\ B) = \frac{P(A and B)}{P(B)}\\= \frac{\frac{3}{10} }{\frac{2}{5} } \\=\frac{3}{10} *\frac{5}{2}\\=\frac{3}{4}$

So, the probability of A given B is 3/4 ..

3 0

3 years ago

A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building wil

Sonja [21]

Answer:

27.55ft

Step-by-step explanation:

28²-5²=x

784-25=759

square root of 759=27.55

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7Bb%20%2B%20%20-%20%20%5Csqrt%7B%7Bb%7D%5E%7B2%7D%20-%204ac%20%7D%20%7D%7

Phantasy [73]

If it is asking if that equation is the quadratic formula, then the answer is false. The reason why is that the first 'b' should be negative

The quadratic formula is

$x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$

3 0

2 years ago