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GenaCL600 [577]

3 years ago

10

one gym chargers $40 per month and $3 per exercise class. another gym charges $20 per month and $8 per exercise class. after how

many exercise classes will the monthly cost be the same and what will that cost be?

1 answer:

S_A_V [24]3 years ago

7 0

4 classes, $52
Do it the long way to check

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The men's record for javelin throw is 323 ft and 1 in. How many meters do you have to

agasfer [191]

Anything over 100 meters

7 0

3 years ago

For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d =

enyata [817]

Given that <span>For a certain model of car the distance $d$ required to stop the vehicle if it is traveling at $v$ mi/h is given by the formula $d=v+\frac{v^2}{20}, where [tex]d$ is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

$v+ \frac{v^2}{20} \leq75 \\ \\ 20v+v^2\leq1,500 \\ \\ v^2+20v+100\leq1,500+100 \\ \\ (v+10)^2\leq1,600 \\ \\ |v+10|\leq\sqrt{1,600} \\ \\ -40\leq v+10\leq40 \\ \\ -40-10\leqv\leq v\leq40-10 \\ \\ -50\leq v\leq30$

Therefore, the range of speed she can travel is $v\leq30\ mi/hr$
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8 0

3 years ago

Scientific notation

tatiyna

Answer:

51,760

Step-by-step explanation:

Move the decimal place 4 tens places to the right (Positively)

51,760

I hope this helped!

7 0

3 years ago

Which expression is equivalent to (^5sqrt3^2)^1/3

11Alexandr11 [23.1K]

Answer:

3^2/15

Step-by-step explanation:

(^5sqrt3^2)^1/3

(3^2/5)^1/3

multiply the powers

3^2/5*1/3

3^2/15

6 0

3 years ago

Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475

zepelin [54]

Answer: 6 years

Step-by-step explanation:

Formula to calculate compound amount: $A=P(1+r)^t$ , where P= Principal , r=rate of interest, t= time

Given: P = £400, r = 3% = 0.03 , A= 475

Required equation: $400(1+0.03)^t\geq475$

$400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875$

Taking log on both sides , we get

$t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6$

Hence, he needs to invest the money for 6 years to get atleast £475.

7 0

3 years ago