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RUDIKE [14]
3 years ago
13

There are 2 cell phone plans available from Cell phones R us company. Plan A charges 30$ a month plus $0.01 for every text messa

ge. Plan B charges $20 a month plus $0.05 for every text message. How many text messages do you need to send in order for plan A to be cheaper than plan B?
A.) 20 + 0.05m > 30 + 0.01m

B.) 20 + 0.05m < 30 + 0.01m

C.) 20 + 0.05m ≤ 30 + 0.01m

D.) 30 + 0.05m . 20 + 0.01m
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0
<span>A.) 20 + 0.05m > 30 + 0.01m
I think but I'm not 100% sure </span>
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What is the slope of a line perpendicular to the line whose equation is 4x-2y=-16.
Arte-miy333 [17]

Answer:

-1/2

Step-by-step explanation:

the slope of the first line is 2

to get the line perpendicular, you swap the numerator and denominator, then if positive make negative and the other way around

4 0
2 years ago
Paula has a dog that weighs 3 times as much as Carla's dog
ivanzaharov [21]

Answer:

The weight of Paula's dog is 36 pounds.

Step-by-step explanation:

SO we would draw one box for the weight of Carla's dog. Then we would draw 3 boxes for the weight of Paula's dog.

To find how much does Paula's dog weigh we divide the total weight of the dogs by the total number of boxes.

So then you would calculate 48 divided by 4.

The weight of Carla's dog is 12 pounds.

Therefore the weight of Paula's dog is 3x12=3x10+3x2=30+6=36 pounds.

4 0
3 years ago
Here are two ways of paying for delivery from an online supermarket.
Andreas93 [3]

Answer:

Option B will be cheaper.

Step-by-step explanation:

Option A:

1.99*80=159.20

Option B:

5.99*24=143.76

*you get 24 becasue there are 24 months in 2 years.

6 0
3 years ago
Solving linear-quadratic systems algebraically<br><br> y+2=(x-3)^2<br> y+3=x
Vikentia [17]

Answer:

(2, - 1 ) and (5, 2 )

Step-by-step explanation:

y + 2 = (x - 3)² → (1)

y + 3 = x ( subtract 3 from both sides )

y = x - 3 → (2)

Substitute y = x - 3 into (1)

x - 3 + 2 = (x - 3)² ← expand using FOIL

x - 1 = x² - 6x + 9 ( subtract x - 1 from both sides )

0 = x² - 7x + 10 ← in standard form

0 = (x - 2)(x - 5) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

Substitute these values into (2) for corresponding values of y

x = 2 : y = 2 - 3 = - 1 ⇒ (2, - 1 )

x = 5 : y = 5 - 3 = 2 ⇒ (5, 2 )

5 0
2 years ago
CarcuratOS 11.A credit card charges an annual rate of 18% compounded monthly. This month's bill is Rs. 35,000... Suppose that yo
ZanzabumX [31]

Answer:

FIRST QUESTION

It will pay the bill after 7.45 = rounding 8 months, being the last payment less than 5,000

The total interest for the period will be 2,263.04

SECOND QUESTION The rate will be 6%

Step-by-step explanation:

for the first part, we should calculate the time it takes to an ordinary annuity of 5,000 to have a present value of 35,000 at discount rate of 18%

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 5,000

time n

rate 0.015

PV $35,000.0000

5000 \times \frac{1-(1+0.015)^{-n} }{0.015} = 35000\\

We work out the formula:

(1+0.015)^{-n}= 1-\frac{35000\times0.015}{5000}

We solve the right side of th formula

and then apply logarithmics properties:

-n= \frac{log0.895}{log(1+0.015)

-n = -7.450765527

n = 7.45

It will pay the bill after 8 months.

Total Interest: we will build the loan schedule:

         Bill          Interest    Cuota&Amortization

1      35000        525&      5000          4475

2     30525        457.88    5000         4542.12

3     25982.88  389.74     5000        4610.26

4     21372.62   320.59     5000         4679.41

5     16693.21   250.4       5000          4749.6

6     11943.61    179.15       5000          4820.85

7      7122.76    106.84     5000           4893.16

8       2229.6    33.44      2263.04       2229.6

Total              2263.04   37263.04       35000

The total interest for the period will be 2,263.04

<u>Second question </u>we will solve for the rate at which a capital of 3,000 returns 5,372.54 after 10 years

Principal \: (1+ r)^{time} = Amount

Principal 30,00.00

Amount = 5,372.54

time 10.00

rate ?

3,000 \: (1+ r)^{10} = 5,372.54

r = \sqrt[10]{5,372.54/3,000} - 1

r = 0.059999939 = 0.06 = 6%

4 0
3 years ago
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