All categories

3 years ago

Find the missing terms 14.5_,_,18.4

Mathematics

2 answers:

Gelneren [198K]3 years ago

8 0

Answer:

16.6

Step-by-step explanation:

kifflom [539]3 years ago

4 0

The first term is a which is equal to 14.5

The 4th term is a + 3d = 18.4

We know what a is so we can substitute it into the above equation...

14.5 + 3d = 18.4

3d = 3.9

d = 1.3

So the common difference is 1.3... now you just have to add that to the first term so...

14.5 + 1.3 = 15.8 (2nd term)

15.8 + 1.3 = 17.1 (3rd term)

Hope this helps! Any questions let me know:)

You might be interested in

What is the gcf of 3x^2 and 7y

Svetach [21]

Answer :
<span>Unless we have a relationship defined between x and y there is no common factor apart from 1.
</span>
hope it helps
~Reema

7 0

3 years ago

find the value of an investment of $3500 for 3 years at an interest rate of 5.6% if the money is compounded weekly

sergeinik [125]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3500\\
r=rate\to 5.6\%\to \frac{5.6}{100}\to &0.056\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{weekly, thus fifty two}
\end{array}\to &52\\
t=years\to &3
\end{cases}$

$\bf A=3500\left(1+\frac{0.056}{52}\right)^{52\cdot 3}\implies A=3500\left( \frac{6507}{6500} \right)^{156}
\\\\\\
A\approx 4139.9038869337$

3 0

3 years ago

An animal shelter has 35 puppies get the puppies are 28% of the total dog and cat population how many dogs and cats are there in

Stells [14]

Answer:

125 dogs and cats

Step-by-step explanation:

35 puppies make up 28% of the total dog and cat population

so 28% of the total population is 35

let x = the total population

0.28x = 35

x = 35 / 0.28

x = 125 <=== total dogs and cats

4 0

3 years ago

Find each of the following for

KATRIN_1 [288]

<h2>Answer:</h2>

(a)

$f(x+ h)=8x+8h+3$

(b)

$f(x+ h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}=8$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as :

$f(x)=8x+3$

(a)

$f(x+ h)$

We will substitute (x+h) in place of x in the function f(x) as follows:

$f(x+h)=8(x+h)+3\\\\i.e.\\\\f(x+h)=8x+8h+3$

(b)

$f(x+ h)-f(x)$

Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

$f(x+h)-f(x)=8x+8h+3-(8x+3)\\\\i.e.\\\\f(x+h)-f(x)=8x+8h+3-8x-3\\\\i.e.\\\\f(x+h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}$

In this part we will divide the numerator expression which is obtained in part (b) by h to get:

$\dfrac{f(x+ h)-f(x)}{h}=\dfrac{8h}{h}\\\\i.e.\\\\\dfrac{f(x+h)-f(x)}{h}=8$

5 0

3 years ago

A recipe for French toast that serves 6 calls for 3/4 cup granulated sugar, 1 cup of evaporated milk, 1/3 teaspoon of vanilla, a

maxonik [38]

To serve 3 you half the recipe so divide each number by 2

3/4 cup/2 = 3/8 cup granulated sugar

1 cup/2 = 1/2 cup of evaporated milk

1/3teaspoon/2 = 1/6 teaspoon of vanilla

12 slices/2 = 6 slices of French bread

3 0

3 years ago