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Damm [24]
3 years ago
5

Bob bought some land costing $15,540. Today, that same land is valued at $45,117. How long has Bob owned this land if the price

of land has been increasing at 5 percent per year
Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

Answer:

21.84 years

Step-by-step explanation:

From the compound interest formula;

F = P(1+r)^t .......1

ln(F/P) = tln(1+r)

t = ln(F/P)/ln(1+r) .......2

Where;

F = Final value = $45,117

P = Initial value = $15,540

r = rate = 5% = 0.05

t = time

Substituting the values into equation 2;

t = ln(45117/15540)/ln(1.05)

t = 21.84542292124 years

t = 21.84 years

It will take Bob 21.84 years

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If you spend $50,000 on new furniture and it is depreciating about 20% per year, how much will it be worth by its third year?
Julli [10]

Answer:

$25,600

Step-by-step explanation:

  • Given: P = $50,000, r = 20% & t = 3 years

  • Formula for depreciation is given as:

  • A(t) = P\bigg(1-\frac{r}{100}\bigg)^t

  • Plugging the values of P, r and t in the above formula, we find:

  • A(3) = 50,000\bigg(1-\frac{20}{100}\bigg)^3

  • \implies A(3) = 50,000\bigg(1-\frac{1}{5}\bigg)^3

  • \implies A(3) = 50,000\bigg(\frac{4}{5}\bigg)^3

  • \implies A(3) = 50,000\times\frac{64}{125}

  • \implies A(3) =\$ 25,600

  • So, after third year it will be worth by $25,600.
8 0
1 year ago
After the math contest, Basil noticed that there were four extra-
Vlad1618 [11]

Answer:

correct answer = 12

Step-by-step explanation:

the extra large pizza contains = 12 slices of pizza.

<em>plz </em><em>mark</em><em> my</em><em> answer</em><em> as</em><em> brainlist</em><em> plzzzz</em><em>.</em>

<em>hope</em><em> this</em><em> will</em><em> be</em><em> helpful</em><em> to</em><em> </em>you ☺️

3 0
3 years ago
Read 2 more answers
Let f(x) = x2 - 16. Find f-1(x).
Arisa [49]
f(x)=x^2-16

To find f^{-1}(x), (the inverse of the function) you need to first replace the f(x) with y...
y=x^2-16
Then switch the x and the y.
x=y^2-16
Solve for y.
x+16=y^2
Take the square root of each side...
\boxed{y=\pm\sqrt{x+16}}
6 0
3 years ago
Read 2 more answers
Zack, Jack and Sasha earned £250 altogether delivering leaflets.
AleksAgata [21]

Answer:

Zack earned £125, Jack earned £75, and Sasha earned £50

Step-by-step explanation:

Considering the number of leaflets delivered

Zack 50%, Jack 30% and Sasha 20%

Total delivered = 50 + 30 + 20 = 100%

If they earn £250 on the 100% delivery, then each will have as shown below

Zack = (50/100)*250

= 5*25

= £125

Jack = (30/100)*250

= 3*25

= £75

Sasha = (20/100)*250

=2*25

= £50

5 0
3 years ago
Read 2 more answers
Can you please help me solve this?
oee [108]
So, i would use the add the two equation method, so add those to get:
2e=-4
e=-2
then plug in e to get d, so d+-2=1
d=3
plug into the other one to make sure
-3+-2=-5
so it would be (3,-2)
8 0
3 years ago
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