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4vir4ik [10]
2 years ago
10

"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our curre

nt rate by at least 16% to meet this quarter's goal."
Employee: "That means our target is __________ consumers retained."
Mathematics
1 answer:
Lorico [155]2 years ago
6 0
1. multiply 250 by 10% (250 * .1= 25)
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261. 
4. 261 is your final answer
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Alexandra and her children went into a grocery store and she bought $7.65 worth of
zalisa [80]

Answer:

\large \boxed{\text{3 apples and 6 bananas}}

Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a &  =&4.05\\(4) \, \,  \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}

Check:

\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}

OK.

3 0
2 years ago
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
valina [46]

Answer:

\boxed{AC = 2.3}

Step-by-step explanation:

AD = BD  (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

c^2 = a^2+b^2

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

AC^2= (1.5)^2+(\sqrt{3} )^2

AC^2 = 2.25 + 3

AC^2 = 5.25

Taking sqrt on both sides

AC = 2.3

3 0
2 years ago
Read 2 more answers
Steven and Julio each have 13 marbles. Megan has twice the number of marbles as Steven and Julio combined. Steven thinks that me
kodGreya [7K]

Answer:

50

Step-by-step explanation:

Steven = 13 marbles

Julio = 13 marbles

Megan has twice the number of marbles as Steven and Julio combined

Megan = 2 (13 + 13) = 2(26) = 52 marbles

Among the options (26, 13, 50, 169, 338), the only reasonable estimate is 50

6 0
2 years ago
For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following t
LekaFEV [45]

Answer: E

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the deck is shuffled after a ca
dem82 [27]

Answer:

\frac{4}{663}

Step-by-step explanation:

Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.

A - the first card is 4

B - second card is ace

We have to find probability for

A\bigcap B

P(A) = no of 4s in the deck/total cards = \frac{4}{52} =\frac{1}{13}

After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it

P(B) = no of Aces in 51 cards/51 = \frac{4}{51}

Hence

P(A\bigcap B) = \frac{1}{13} *\frac{4}{51} \\=\frac{4}{663}

(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)

8 0
2 years ago
Read 2 more answers
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