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Olin [163]
3 years ago
5

Someone please answer this pick the right answer

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0
770.

.........................
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Given the functionf(x)=0.5(3)^x, what is value of f-1(7)
gogolik [260]
Ok, a fun hack

if f⁻¹(a)=b then f(b)=a

so if f⁻¹(7)=b then f(b)=7

to find b, find x such that f(x)=7


7=0.5(3)^x
times both sides by 2 (or divide both sides by 0.5)
14=3^x
take log₃ of both sides
log_3(14)=x

f^{-1}(7)=log_3(13)
4 0
3 years ago
What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?
Serggg [28]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}

\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1
7 0
3 years ago
The room-size ranges suggested above for a 4-member family (family with 2 children) and a family with three teenagers are differ
irinina [24]
 Teenagers require more space than smaller children. 
3 0
3 years ago
Read 2 more answers
What is the value of 6 in .061
zhannawk [14.2K]
The value is 6 hundreths 
it is in the hundreths place, so that would be your answer 

:)
3 0
3 years ago
Read 2 more answers
A car dealership pays 8358 for a car they mark up the price by 17.4% to get the retail price. What is the retail price of the ca
Ede4ka [16]

Answer:

<u>The retail price of the car is US$ 10,024 Rounding to the next whole</u>

Step-by-step explanation:

1. Let's check the information given to us to answer the question correctly:

Mark up the purchase price = 17.4%

Price of purchase of the car = $ 8,538

2. What is the retail price of the car at this dealership?

For calculating the retail price of the car, we will use the Rule of Three Simple, this way:

x = retail price of the car

x * 1 = 8,538 * 1.174

x = 10,023.61

<u>The retail price of the car is US$ 10,024 Rounding to the next whole</u>

3 0
3 years ago
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