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trasher [3.6K]
3 years ago
7

What would be the value of $100 after 10 years if you earn 11 percent interest per year

Mathematics
1 answer:
uysha [10]3 years ago
5 0
10 times 11% is 11 dollars, so 11 times 10 equals 110. Then 110 plus 100 equals 210. So you'd have $210 after ten years with 11 percent interest. 
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If the original price is $80 and the percent of discount is 20% what is the sale price?
SIZIF [17.4K]

Answer:

64$

Step-by-step explanation:

20 percent of 80 is 16

80 - 16 is 64

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Find the volume of the triangular prism.<br> PLEASE HELP!
Natalija [7]

Answer:

53.76 cm³

Step-by-step explanation:

1/2(4.8)(3.2)(7)=53.76

The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

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Answer for number 7 help me please !!!
Maru [420]
The surface area of the cylinder is 1570.8
3 0
3 years ago
2ᵃ = 5ᵇ = 10ⁿ.<br> Show that n = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Ba%20%2B%20b%7D%20" id="TexFormula1" titl
11Alexandr11 [23.1K]
There are two ways you can go about this: I'll explain both ways.
<span>
</span><span>Solution 1: Using logarithmic properties
</span>The first way is to use logarithmic properties.

We can take the natural logarithm to all three terms to utilise our exponents.

Hence, ln2ᵃ = ln5ᵇ = ln10ⁿ becomes:
aln2 = bln5 = nln10.

What's so neat about ln10 is that it's ln(5·2).
Using our logarithmic rule (log(ab) = log(a) + log(b),
we can rewrite it as aln2 = bln5 = n(ln2 + ln5)

Since it's equal (given to us), we can let it all equal to another variable "c".

So, c = aln2 = bln5 = n(ln2 + ln5) and the reason why we do this, is so that we may find ln2 and ln5 respectively.

c = aln2; ln2 = \frac{c}{a}
c = bln5; ln5 = \frac{c}{b}

Hence, c = n(ln2 + ln5) = n(\frac{c}{a} + \frac{c}{b})
Factorise c outside on the right hand side.

c = cn(\frac{1}{a} + \frac{1}{b})
1 = n(\frac{1}{a} + \frac{1}{b})
\frac{1}{n} = \frac{1}{a} + \frac{1}{b}

\frac{1}{n} = \frac{a + b}{ab}
and thus, n = \frac{ab}{a + b}

<span>Solution 2: Using exponent rules
</span>In this solution, we'll be taking advantage of exponents.

So, let c = 2ᵃ = 5ᵇ = 10ⁿ
Since c = 2ᵃ, 2 = \sqrt[a]{c} = c^{\frac{1}{a}}

Then, 5 = c^{\frac{1}{b}}
and 10 = c^{\frac{1}{n}}

But, 10 = 5·2, so 10 = c^{\frac{1}{b}}·c^{\frac{1}{a}}
∴ c^{\frac{1}{n}} = c^{\frac{1}{b}}·c^{\frac{1}{a}}

\frac{1}{n} = \frac{1}{a} + \frac{1}{b}
and n = \frac{ab}{a + b}
4 0
3 years ago
A crayon company sells a pack of wax crayons for 5$. There are 10 crayons in each pack. What is the unit price of the crayons
Alchen [17]

10 crayons = $5

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Answer: Unit Price = $0.50/crayon

5 0
3 years ago
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