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Stolb23 [73]
2 years ago
10

Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account e

ach week . - Option 2 will double the amount in his account at the end of each week . a) Write a function in terms of x to model each option of savings . b) Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option (s) will enable him to reach his goal. Justify your answer.
Mathematics
1 answer:
nekit [7.7K]2 years ago
5 0

Answer:

Option 1:

He starts with $10, and for each week, we add $100

Then his balance as a function of weeks will be:

f(w) = $10 + $100*w

option 2.

Again, we start with $10, and for each week that passes this is doubled, then the equation will be:

g(w) = $10*(2)^w

Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.

option 1:

f(7) = $10 + $100*7 = $710

With option 1 he will have enough

option 2:

g(7) = $10*(2)^7 = $1280

Again, he will have more than $700 in week 7, and we can clearly see that this option is better.

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The box plots below show attendance at a local movie theater and high school basketball games: Two box plots are shown. The top
nignag [31]

Answer:

Inter-quartile range

Step-by-step explanation:

When you have the quartile, you can use the IQR (interquartile range) to measure the dispersion.

IQR = Q3 - Q1

Movies: IQR = 195 - 162 = 33

Basketball: IQR = 225 - 170 = 55

Attendance at Basketball is more dispersed/spread out as compared to attendance at Movies

8 0
3 years ago
write the equation of the line in slope - interact firm given the slop and the coordinates of the y-intercept. m=3/5; (0,1/6)
brilliants [131]
Y - y₁ = m(x - x₁)
y - ¹/₆ = ³/₅(x - 0)
y - ¹/₆ = ³/₅(x) - ³/₅(0)
y - ¹/₆ = ³/₅x - 0
<u>  + ¹/₆         + ¹/₆
</u>       y = <u><em /></u><em />³/₅x + ¹/₆
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       y = 0 + ¹/₆
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5 0
3 years ago
Read 2 more answers
Angles C and E are complementary angles. Angle C measures (4× + 50). Angle E measures 28 degrees. Solve for x.​
julsineya [31]

Answer:

x = 3

Step-by-step explanation:

4x + 50 + 28 = 90

4x + 78 = 90

4x = 12

x = 3

7 0
3 years ago
Read 2 more answers
Draw the graph of g(x) = 2x + 3, if x ≥ 1 g(x) = 5, if x &gt; 1
trapecia [35]
G(x)=2x+3
x <span>≥ 1
g(x)=5
x is bigger then 1

</span>
6 0
3 years ago
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Reptile [31]

Step-by-step explanation:

18% compounded monthly

vs

charges 18% compounded semi-annually.

#1 is worse than #2 because...

Since the nominal rates are the same, the card with the more frequent compounding so it would have the higher effective rat.

Let's compare them!:

(1 + .18/12)^12 = 1.19562 ---> effective rate is 19.562 per annum

(1+.18/2)² = 1.1881

1.1881 has the effective rate of 18.88% per annum

(1 + /17/4)^4 = 1.18114.. --> effective rate is 18.114% per annum

18% monthly is .18 over 12 each month = 0.015/month

so every month multiply by 1.015

total cost = $607.99 * 1.01^number of months

18% semi annual = .18/2 every six months = .09 /half year

so every half year (6 months) multiply by 1.09

total cost = $607.99 * 1.09^ (number of months/6)

17% quarterly = .17/4 every 3 months = .0425 /quarter year

so every quarter year (3 months) multiply by 1.0425

total cost = $607.99 * 1.025^(number of months/3)

HOPE THIS HELPS YOU HAVE A GREAT GREAT GREAT FANTASTIC FRIDAY!

7 0
3 years ago
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