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3 years ago

Can someone please help me with this?

Mathematics

1 answer:

Pavel [41]3 years ago

4 0

Step-by-step explanation:

1 year = 12 months

2yrs = 24 months

F(c) =100+5(24)

= 100+120

= $220

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Find the common difference of the arithmetic sequence -5, -14, -23, ...

BartSMP [9]

Answer:

-9

Step-by-step explanation:

Given :-

A Arithmetic sequence -5 , -14 , -23 ...

And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.

Sequence :-

$:\implies$ -5 , -14 , -23

Common difference :-

$:\implies$ CD = -14 -(-5) = -14+5=-9

$:\implies$ CD = -23-(-14) = -23+14=-9

Hence the common difference is (-9) .

5 0

3 years ago

Read 2 more answers

Rodger put $1,000 in a bank account that pays 5% annual simple interest. At the end of four years, how much interest has he earn

Kryger [21]

Answer: He has earned $200 interest and the balance of his account is $1,200.

Step-by-step explanation:

Given: Principal : P = $1,000

Simple interest rate : r = 5% = 0.05

Time: t = 4 years

Simple interest = $Prt$

$=1000\times0.05\times4=200$

i.e. Simple interest = $200

Balance of account = Principal + Simple interest

= $1,000 + $200

= $1,200

Hence, he has earned $200 interest and the balance of his account is $1,200.

3 0

3 years ago

Solve: 55) A pool is filling at 3 pts per min. How many gallons per hour is that?

Novay_Z [31]

Conversion factors:
2 pints = 1 quart
4 quarts = 1 gallon
60 minutes = 1 hour

15 pints/minute x 60 minutes/hour x 1 quart/2 pints x 1 gallon/4 quarts = 112.5 gallons/hour

6 0

2 years ago

If J/24 = K, then J/6 =

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

$\frac{J}{24}$ = K ( multiply both sides by 24 to clear the fraction )

J = 24K ( divide both sides by 6 )

$\frac{J}{6}$ = 4K

8 0

3 years ago

Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses

emmasim [6.3K]

$\bf \cfrac{\sqrt{-16}}{(1+i)+(6+3i)}\implies \cfrac{\sqrt{-1\cdot 16}}{1+i+6+3i}\implies \cfrac{\sqrt{-1}\cdot \sqrt{16}}{7+4i}
\\\\\\
\cfrac{i\cdot \sqrt{4^2}}{7+4i}\implies \cfrac{4i}{7+4i}\impliedby 
\begin{array}{llll}
\textit{now, we'll multiply by the}\\
\textit{conjugate of the denominator}
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{and recall }\textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
\textit{also recall that }i^2=-1
\\\\
-------------------------------\\\\$

$\bf \cfrac{4i}{7+4i}\cdot \cfrac{7-4i}{7-4i}\implies \cfrac{4i(7-4i)}{(7+4i)(7-4i)}\implies \cfrac{28i-16i^2}{7^2-(4i)^2}
\\\\\\
\cfrac{28i-16(-1)}{49-(4^2i^2)}\implies \cfrac{28i+16}{49-[16(-1)]}\implies \cfrac{16+28i}{49+16}\implies \cfrac{16+28i}{65}
\\\\\\
\cfrac{16}{65}+\cfrac{28i}{65}$

5 0

4 years ago