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3 years ago

5

Devin is going to deposit $3,000 in an account that earns 3.5% interest for 10 years. How much more INTEREST will he earn if the

account earns annual compound interest rather than annual simple interest?

1 answer:

Andrews [41]3 years ago

7 0

Answer:

the answer will be rs.1050as more interest

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Sharon has 23 toy car that are colored red, blue, and white. She has 4 red cars, 2 fewer blue cars than red and 5 more purple ho

podryga [215]

Answer:

13 white cars

Step-by-step explanation:

Let us represent:

Number of

Red cars = x

Blue cars = y

White cars = z

Sharon has 23 toy car that are colored red, blue, and white.

x + y + z = 23

x = 4

2 fewer blue cars than red

y - 2 = x

y - 2 = 4

y = 4 + 2

y = 6

Hence,

x + y + z = 23

4 +

Number of white cars is calculated as:

23 - (6 + 4)

23 - 10

= 13 white cars

8 0

3 years ago

Which table of values will generate this graph?

IRINA_888 [86]

Answer:

Step-by-step explanation:

3

7 0

3 years ago

A regular paper clip is 1 1/4 inches long, and a jumbo paper clip is 1 7/8 inches long. How many times longer is the jumbo paper

gregori [183]

It is 6.4 times longer

8 0

4 years ago

Vector u has a magnitude of 7 units and a direction angle of 330°. Vector v has magnitude of 8 units and a direction angle of 30

Dafna11 [192]

Keeping in mind that x = rcos(θ) and y = rsin(θ).

we know the magnitude "r" of U and V, as well as their angle θ, so let's get them in standard position form.

$\bf u=
\begin{cases}
x=7cos(330^o)\\
\qquad 7\cdot \frac{\sqrt{3}}{2}\\
\qquad \frac{7\sqrt{3}}{2}\\
y=7sin(330^o)\\
\qquad 7\cdot -\frac{1}{2}\\
\qquad -\frac{7}{2}
\end{cases}\qquad \qquad v=
\begin{cases}
x=8cos(30^o)\\
\qquad 8\cdot \frac{\sqrt{3}}{2}\\
\qquad \frac{8\sqrt{3}}{2}\\
y=8sin(30^o)\\
\qquad 8\cdot \frac{1}{2}\\
\qquad 4
\end{cases}$

$\bf u+v\implies \left( \frac{7\sqrt{3}}{2},-\frac{7}{2} \right)+\left( \frac{8\sqrt{3}}{2},4 \right)\implies \left( \frac{7\sqrt{3}}{2}+\frac{8\sqrt{3}}{2}~~,~~ -\frac{7}{2}+4\right)
\\\\\\
\left(\stackrel{a}{\frac{15\sqrt{3}}{2}}~~,~~ \stackrel{b}{\frac{1}{2}}\right)\\\\
-------------------------------$

$\bf tan(\theta )=\cfrac{b}{a}\implies tan(\theta )=\cfrac{\frac{1}{2}}{\frac{15\sqrt{3}}{2}}\implies tan(\theta )=\cfrac{1}{15\sqrt{3}}
\\\\\\
\measuredangle \theta =tan^{-1}\left( \cfrac{1}{15\sqrt{3}} \right)\implies \measuredangle \theta \approx 2.20422750397203^o$

8 0

3 years ago

Solve for the variable: 12 = 5x = 7

IrinaVladis [17]

Hello from MrBillDoesMath!

Answer: x = 1

Discussion :

Per the author, the equation to solve is 12 = 5x + 7

Isolate the "x" variable by subtracting 7 from both sides of the equation:

12 = 5x + 7

-7 = -7

---------------------

12-7 = 5x + 0

or

5 = 5x

Dividing both sides by 5 gives x - 1

Regards, MrB

6 0

3 years ago