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3 years ago

A person places $1690 in an investment account earning an annual rate of 7.2%,

Mathematics

1 answer:

VashaNatasha [74]3 years ago

7 0

Answer:

Step-by-step explanation:

$V=Pe^{(rt)}\\ \\ V(8)=1690e^{(.072(8))}\\ \\ V(8)=\$ 3006.36$

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Solve or check ' whether your answer is correct or not 3x -9=12

Kruka [31]

Answer:

x = 7

Step-by-step explanation:

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 21 ÷ 3

x = 7

5 0

3 years ago

Read 2 more answers

Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)

Paha777 [63]

Answer:

$(1\frac{1}{15},3\frac{5}{12})$

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are $4 \frac{1}{3}$ and $-2\frac{1}{5}$ .

The y's are $3\frac{1}{6}$ and $3\frac{2}{3}$ .

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

$\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}$

Write as improper fractions:

$\frac{\frac{13}{3}+\frac{-11}{5}}{2}$

Division by 2 is the same as multiplying by 1/2:

$\frac{13}{6}+\frac{-11}{10}$

The least common multiple of 6 and 10 is 30. We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

$\frac{65}{30}+\frac{-33}{30}$

Now that the bottoms are the same we can write as one fraction:

$\frac{65+-33}{30}$

Simplify:

$\frac{32}{30}$

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

$1\frac{2}{30}$

Reduce by dividing top and bottom by 2:

$1\frac{1}{15}$

Now for y:

$\frac{3\frac{1}{6}+3\frac{2}{3}}{2}$

Write the mix fractions as improper fractions:

$\frac{\frac{19}{6}+\frac{11}{3}}{2}$

Dividing by 2 is the same as multiplying by 1/2:

$\frac{19}{12}+\frac{11}{6}$

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

$\frac{19}{12}+\frac{22}{12}$

Since the denominators are the same we can write as a single fraction:

$\frac{41}{12}$

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

$3\frac{5}{12}$

So the midpoint is:

$(1\frac{1}{15},3\frac{5}{12})$ .

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3 years ago

Read 2 more answers

o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success ra

Rashid [163]

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85

8 0

3 years ago

How to factor by grouping

Ostrovityanka [42]

Step1: group the first two terms together
next step 2:factor out a GFC from each separate binomical
next step 3: factor out the common binomial

6 0

3 years ago

Read 2 more answers

If the domain of f(n) = -4n - 3 is (-1, 1/4,4}, what is the range?

ahrayia [7]

Answer:

$Range= \{1,-4,-19\}$

Step-by-step explanation:

Given

$f(n) = -4n - 3$

$n = \{-1,1/4,4\}$ --- domain

Required

Determine the range

To do this, we simply substitute the values of n in the given expression

So, we have:

$n = -1$

$f(-1) = -4 * -1 - 3 =4 - 3 = 1$

$n = 1/4$

$f(-1) = -4 * 1/4 - 3 =-1 - 3 = -4$

$n=4$

$f(-1) = -4 * 4 - 3 =-16 - 3 = -19$

Hence, the range is:

$Range= \{1,-4,-19\}$

5 0

2 years ago