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labwork [276]
3 years ago
7

What lump sum must be invested at 9%, compounded monthly, for the investment to grow to $72,000 in 6 years?

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer: $42042.50

Step-by-step explanation:

We need to use algebra and equations.

A = P x (1 + (R/n)/100)^nt

our amount (A) is $72K

the number of times we compound the money (n) is 12 (12 months in a year, 'compounded monthly')

our rate (R) is 9 (9%)

our time (t) is 6 (6 years)

we need to find our principal/initial amount (p)

72000 = p x (1 + 0.0075)^12x6

p = $42042.50

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I will give the correct answer brainliest !!
zubka84 [21]

why do they be giving us this hardwork :(

6 0
3 years ago
Jason worked 3 hours more than Keith. Jason worked 12 hours. Which equation represents this situation, if k is the numbers of ho
ycow [4]

Answer:

j=k+3   (j=jason k+kieth)

Step-by-step explanation:

he did thrhee more so it will be adding 3 to k

8 0
3 years ago
A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
Can you help me with this please !!! Please really please
Stolb23 [73]

Answer:

a

brainliest pls???

Step-by-step explanation:

8 0
3 years ago
Help me find the rate of change for these points listed here, and also write an equation:
valentinak56 [21]
54-2/0-3=-17,3=a
Y=-17,3x+54 b=54 because its the initial value of y when x =0
When x=1 y=36,7
When x=2 y=19,4
I juste replaced 1 in the equation and did the calculation with my calculator
4 0
3 years ago
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