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2 years ago

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There were n signers of the Declaration of Independence. The oldest was Benjamin Franklin, who was y years old. 7 is 10% of y. W

hat was Franklin’s age?

1 answer:

elixir [45]2 years ago

4 0

7 = 10%y
70 = y

70 years old

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Work out the nth of this sequence:

Gekata [30.6K]

Answer:

$a_n = -11 +3(n -1)$

Explanation:

The $n$ th term of an arithmetic sequence is explicitly defined as $a_n = a_1 +d(n -1)$ where $a_1$ is the first term of the sequence and $d$ is the the common difference.

From the given first five terms of the sequence we can see that the first term is $11$ so $a_1 = 11$ .

The common difference, $d$ , can be calculated by $a_n - a_{n -1}$ so we'll find the common difference of the given sequence by letting $n = 2$

$d = a_2 - a_{2 -1} \\d = a_2 -a_{1} \\d = -8 -(-11) \\ d = -8 +11 \\ d = 3$ .

Now let's plug everything we know.

$a_1 = -11$

$d = 3$

$a_n = -11 +3(n -1)$

6 0

1 year ago

Lily invested $750 in a savings account and earned $225 in interest at the end of 5 years.

Georgia [21]

Your answer is 6%
because 6% =0.06 x 750 =45
45x 5 (years)=225

5 0

2 years ago

Read 2 more answers

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.

IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

<em>Let's plug the points and get the equation of the line:</em>

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3$

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

$y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2$

4 0

2 years ago

Read 2 more answers

E is 3 more than d.<br> f is 5 less than d.<br> Write an expression for e in terms of d

Nataly_w [17]

Answer:

Part A:

We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D

Therefore:

E = D + 3

Part B:

We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D

Therefore:

F = D - 5

Part C:

To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A

Therefore:

E - F = (D+3) - (D-5)

E - F = D + 3 - D + 5

E - F = 8

Hope this helps :)

Step-by-step explanation:

4 0

2 years ago

Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points

Marina86 [1]

Given:

Jake bought 3 drawing pens for $8.07.

Each pen costs the same amount.

To find:

How much did he spend for one pen?

Solution:

Let x be the cost of each pen. Then

Cost of three pens = 3x

Jake bought 3 drawing pens for $8.07.

$3x=8.07$

Divide both sides by 3.

$x=\dfrac{8.07}{3}$

$x=2.69$

Therefore, he spend $2.69 for one pen.

3 0

2 years ago