Ask question

Ask question

All categories

2 years ago

3

Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 3.03(2.18)^x in thousands

of dollars. What was Mary’s initial investment?
$3.03
$4.96
$3,030
$4,960

1 answer:

GREYUIT [131]2 years ago

6 0

Initial investment can be calculated by setting the value of x to zero since it is an initial value where time is zero. Using the given model, we calculate as follows:

<span>M(x) = 3.03(2.18)^x
M(0) = 3.03 (2.18)^0
M(0) = 3.03 <---------FIRST OPTION</span>

You might be interested in

Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occ

Charra [1.4K]

Answer:

a) x-4+9

b) x-2

For part b, I am not 100% sure about my answer, but I am sure about part a.

3 0

2 years ago

Which statement about 6x2 + 7x – 10 is true?

amm1812

Answer:

(x+2)

Step-by-step explanation:

factor out the equation and get

(x+2)(6x-5)

7 0

2 years ago

Read 2 more answers

What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?

Vinvika [58]

Answer: $3ab\sqrt[3]{b^4}$

Step-by-step explanation:

Given the following expression:

$\sqrt[3]{27a^3b^7}$

You need to apply the Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)$

Then, you can rewrite the expression as following:

$=\sqrt[3]{27a^3b^4b^3}$

The next step is to descompose 27 into its prime factors:

$27=3*3*3=3^3$

Now you must substitute $3^3$ inside the given root. Then:

$=\sqrt[3]{3^3a^3b^4b^3}$

You need to remember that, according to Radicals properties:

$\sqrt[n]{a^n}=a^{\frac{n}{n}}=a^1=a$

Therefore, the final step is to apply this property in order to finally get the expression is its simplest form. This is:

$=3^{\frac{3}{3}}a^{\frac{3}{3}}b^{\frac{4}{3}}b^{\frac{3}{3}}=3ab^{\frac{4}{3}}b=3ab\sqrt[3]{b^4}$

3 0

2 years ago

Read 2 more answers

Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a differen

Anna007 [38]

Answer:

5 miles.

Step-by-step explanation:

Consider the question: Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a different route taking 2 1/2 hours. How many miles did Jinghua hike on the return trip ?

First of all, we will find Jinghua's speed using given information as:

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Convert mixed fractions into improper fractions:

$4\frac{1}{2}\Rightarrow \frac{9}{2}$

$2\frac{1}{4}\Rightarrow \frac{9}{4}$

$\text{Jinghua's speed}=\frac{\frac{9}{2}\text{ Miles}}{\frac{9}{4}\text{ Hours}}$

Using property $\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$ :

$\text{Jinghua's speed}=\frac{9*4\text{ Miles}}{9*2\text{ Hours}}$

$\text{Jinghua's speed}=\frac{2\text{ Miles}}{\text{ Hour}}$

We know that distance is equal to the product of speed and time.

$\text{Distance}=\text{Speed}\times\text{Time}$

Since we have been given that Jingua hiked the return trip at the same average rate, so distance covered by her on return trip would be speed (2 miles her hour) times given time (2 1/2 hours).

$\text{Distance covered by Jingua on return trip}=\frac{2\text{ Miles}}{\text{ Hour}}\times 2\frac{1}{2}\text{ Hours}$

$\text{Distance covered by Jingua on return trip}=2\text{ Miles}\times \frac{5}{2}$

$\text{Distance covered by Jingua on return trip}=5\text{ Miles}$

Therefore, Jingua hiked 5 miles on her return trip.

8 0

2 years ago

A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget

Mnenie [13.5K]

Mr. Valentino can`t go over his budget of $25. The amount of money times the amount of boxes needs to be less than or equal to $25:
Answer: A ) $1.75 x ≤ $25,
where x is the amount of boxes he bought.

4 0

2 years ago

Read 2 more answers