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polet [3.4K]
3 years ago
14

821118 Marks

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

Yes!

Step-by-step explanation:

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An investment of $450 increases at a rate of 6.5% per year. what is the growth factor, b?
Lera25 [3.4K]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$450\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years \end{cases}

\bf A=450\left(1+\frac{0.065}{1}\right)^{1\cdot t}\implies \underset{\textit{growth factor}}{A=450(\underset{\uparrow }{1.065})^t}

8 0
4 years ago
Factor completely 15a^2b-10ab^2
ozzi

Find the Greatest Common Factor (GCF)

GCF = 5ab

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5ab(15a^b/5ab + -10ab^2/5ab)

Simplify each term in parentheses

<u>5ab(3a - 2b)</u>

6 0
3 years ago
Select all solutions that are equivalent to the following expression 3^-5 x 3^2
Schach [20]

Answer:

The pink one

Step-by-step explanation:

3^-5 x 3^2 = 3^(-5+2) = 3^-3

7 0
3 years ago
Suppose a and b are mutually exclusive events, and that p(b)=0.48 and p(a or b)=0.98. find p(a).
olga2289 [7]

The value of p(a) is 0.5

Mutually exclusive events are those events that do not occur at the same time

Given,

The a and b are mutually exclusive events

P(a AND b)=0

P(a)=0.48

p(a or b)=0.98

We know that,

P(a or b)=P(a)+P(b)-P(a AND b)

P(a or b)=P(a)+P(b)-0

P(a or b)=P(a)+P(b)

P(a)=P(a or b)-P(b)

Substitute the given values

P(a)= 0.98-0.48

P(a)=0.5

Hence, the value of P(a) is 0.5

Learn more about Mutually exclusive events here

brainly.com/question/5492865

#SPJ4

8 0
2 years ago
Angle 0 is in standard position. if sin(0) = -1/3, &lt; 0 &lt; 3/2 , find cos (0).
ch4aika [34]

Answer:

-2 sqrt (2) /3

Step-by-step explanation:

sin = -1/3 its in the 3rd quadrant so sin is negative cos is negative

sin^2 O + cos ^2 O = 1

1 - (1/9) = cos^2 O

\cos( \alpha )  =  \frac{ - 2 \sqrt{2} }{3}

4 0
3 years ago
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