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Anuta_ua [19.1K]

1 year ago

7

Suzy’s Sculpting gym charges a $10 Application fee and $12 per month for membership. Tami’s Toning does not charge an applicatio

n fee, but charges $14 per month for membership. After how many months will the total cost of membership be for both gyms?

1 answer:

borishaifa [10]1 year ago

8 0

Answer:

hi have a nice day luv ya

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Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4%

bogdanovich [222]

Mr. Jackson invested $800 at 6% per year and $ 2400 at 4 % per year

<h3><u>Solution:</u></h3>

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.

Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively

Also, his annual return totaled $144

We can form following equation on the basis of question:-

$\begin{array}{l}{\text { Then, } \frac{a \times 6 \times 1}{100}+\frac{3 a \times 4 \times 1}{100}=\$ 144} \\\\ {\frac{6 a}{100}+\frac{12 a}{100}=144} \\\\ {\frac{6 a+12 a}{100}=144} \\\\ {\frac{18 a}{100}=144} \\\\ {18 a=14400} \\\\ {a=14400 \div 18}\end{array}$

a = $800

The amount of money invested at 6% = a = 800

The amount of money invested at 4 % = 3a = 3(800) = 2400

So, the amount of money invested at 6% is $800 and the amount of money invested at 4% is $ 2400

4 0

1 year ago

M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of

UkoKoshka [18]

Since the Σ( of all colors )= 100%, OR 1, then:

a) P(GREEN ∪ BLUEU) = P(G) + P(BL) = 8%+6% = 14% or 0.14

Since we have to choose ONE candy and only ONE candy at random, then tey are mutually exclusive: No. Choosing a green and blue M&M is possible

b) P(YELLOW ∪ RED) = P(Y) + P(R) = 18%+18% = 36% or 0.36
SAME ANSWER AS BEFORE: mutually exclusive

c) P(NOT PURPLE), Let's calculate 1st, the probability of having a PURPLE:
P(PURPLE) = 21% or 0.21
And the Probability of NOT having a PURPLE is 1-0.21 = 0.79

8 0

1 year ago

Let p, q, and r be the propositions p: You get an A on the final exam. q: You do every exercise in this book. r: You get an A in

babunello [35]

Answer:

a) r ^ ¬q

b) p ^ꓥqꓥ^ r

c) r → p

d) p ^ ¬qꓥ^ r

e) (p ^ q) → r

f) r ↔ (q v p)

Step-by-step explanation:

ꓥ^ = AND Conjunction

vꓦ = OR disjunction

¬ = NOT Negation

↔ = Double Implication

→ = implication

6 0

1 year ago

Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from angle B in triangle ABC

julsineya [31]

Answer:

8

Step-by-step explanation:

The median is the segment from vertex B to the midpoint of AC. That midpoint (D) is ...

D = (A + C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2

D = (-4, -1)

The length of the midpoint is the length of the segment DB between (-4, -1) and (4, -1). These points both have the same y-coordinate, so the length is the difference of x-coordinates: 4 -(-4) = 8.

7 0

1 year ago

According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo

aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

$2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4$

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0

2 years ago

Read 2 more answers