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3 years ago

11

Darryl has $5 left in his pocket. He spent $16 on a book, $20 on a compact disc, and $2 on a magazine. How much money did he hav

e at the beginning of the day?

2 answers:

Vlad1618 [11]3 years ago

8 0

He started with 43$ dollars

s2008m [1.1K]3 years ago

4 0

He would've had $43 at the beginning of the day.

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Leah invested $950 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals ar

Contact [7]

$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$950\\ r=rate\to 1.5\%\to \frac{1.5}{100}\dotfill &0.015\\ t=years\dotfill &6 \end{cases} \\\\\\ A=950e^{0.015\cdot 6}\implies A=950e^{0.09}\implies A\approx 1039.5\implies \stackrel{\textit{rounded up}}{A=1040}$

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4 years ago

The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

lawyer [7]

Answer:

C. 6

Step-by-step explanation:

<u>Given</u>

S = n² + n
S = 42, n = ?

<u>Substitute and solve for n:</u>

42 = n² + n
n² + 2*1/2n + 1/4 = 42.25
(n + 0.5)² = 42.25
n + 0.5 = √42.25
n + 0.5 = 6.5
n = 6

Correct option is C

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3 years ago

Read 2 more answers

Depth: 1.8 m Width: 2.5 m Height: 2 m What is the cuboid's volume?

8090 [49]

Answer:

9 m³

Step-by-step explanation:

The formula for calculating the volume (V) of a cuboid is

V = depth × width × height

= 1.8 × 2.5 × 2 = 9 m³

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3 years ago

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I’m not sure how to solve “system of equations”

natka813 [3]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

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3 years ago

A group of students want to make a flag. Someone want it to be a rectangle, some a kite, and others a rhombus. Can the crew make

g100num [7]

Answer:

yes the crew can make a flag using all three shapes

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3 years ago