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statuscvo [17]
3 years ago
12

(25 points)

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

add 17,500+2,975

Step-by-step explanation:


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An unknown capital gets added 5% interest per year by a bank. After how many years does the capital get three times as big, cons
shepuryov [24]

Answer:

After 23 years , the capital will get three times as big

Step-by-step explanation:

Firstly, let us write the compound interest formula

P = I( 1 + r)^n

Since we are considering a capital rise of 3 times

If I, the initial value is x, the P

value later will be 3x

Interest rate is 5/100 = 0.05

so we need the value of t

This will be;

3x = x(1 + 0.05)^t

3= 1.05^t

ln 3 = t ln 1.05

t = ln 3/ln 1.05

t = 23 years

6 0
3 years ago
A sum of money amounting to $4.15 consists of dimes and quarters. If there are 28
anastassius [24]

Answer:

there are 9 quarters and 19 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters

-dimes: 0.1x

-quarters: 0.25y

-the total amount of coins : x + y = 28  

=> x = 28 - y

We have the equation:

0.25y + 0.1x = 4.15

0.25y + 0.1(28 - y) = 4.15

0.25y + 2.8 - 0.1y = 4.15

0.15y = 1.35

y = 9

x = 28 - y

  = 28 - 9

  = 19

3 0
3 years ago
Which of the following would be an acceptable first step in simplifying the expression sinx/1-sinx
Paha777 [63]
\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\
-------------------------------

\bf \cfrac{sin(x)}{1-sin(x)}\implies \cfrac{sin(x)}{1-sin(x)}\cdot \cfrac{1+sin(x)}{1+sin(x)}\implies \stackrel{first~step}{\cfrac{sin(x)[1+sin(x)]}{[1-sin(x)][1+sin(x)]}}
\\\\\\
\cfrac{sin(x)[1+sin(x)]}{1^2-sin^2(x)}\implies \cfrac{sin(x)[1+sin(x)]}{cos^2(x)}
\\\\\\
\cfrac{sin(x)+sin^2(x)}{cos^2(x)}\implies \cfrac{sin(x)}{cos^2(x)}+ \cfrac{sin^2(x)}{cos^2(x)}
\\\\\\
\cfrac{sin(x)}{cos(x)}\cdot \cfrac{1}{cos(x)}+\cfrac{sin^2(x)}{cos^2(x)}\implies tan(x)sec(x)+tan^2(x)
\\\\\\
tan(x)[sec(x)+tan(x)]
8 0
3 years ago
Read 2 more answers
The angle measurements in the diagram are represented by the following expressions.
Rina8888 [55]

Answer:

since those 2 lines are parrelel that means the angles are the same so

8x+6=4x+38

minus 6

8x=4x+32

minus 4x

4x=32

divide by 4

x=8

Hope This Helps!!!

7 0
2 years ago
Read 2 more answers
How to solve by completing the square
AveGali [126]

https://www.mesacc.edu/~scotz47781/mat120/notes/quad_formula/quad_formula.html

Use this link to help you .

6 0
3 years ago
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