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g100num [7]
3 years ago
5

Alexa opens a savings account with a starting balance of $10,000. She will not make any additional deposits or withdrawals. The

account earns 5% simple interest. What is the total amount that Alexa will have in her account at the end of 4 years?
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

$12,000

Step-by-step explanation:

Use the simple interest formula: P = A(1 + rt)

P = final balance (?)

A = starting balance (10,000)

r = interest rate (0.05)

t = years (4)

P = 10,000(1 + 0.05 · 4)

P = 10,000(1 + 0.2)

P = 10,000(1.2)

P = 12,000

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Select TWO values of x that are roots
Sauron [17]

x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\y=x^2+3x+5\\\\a=1;\ b=3;\ c=5\\\\b^2-4ac=3^2-4(1)(5)=9-20=-11\\\\x_1=\dfrac{-3-\sqrt{-11}}{2\cdot1}=\dfrac{-3-\sqrt{-11}}{2}\\\\x_2=\dfrac{-3+\sqrt{-11}}{2}

Answer: A and B.

3 0
3 years ago
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8,370 - 62 =<br> remainder
Marizza181 [45]

Answer:

8308?

Step-by-step explanation:

8 0
3 years ago
Find the Area of the figure below, composed of an isoceles trapezoid and one
MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can  find the total area  dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then          

step one

find the area of the isosceles trapezoid using

A=\frac{a+b}{2}*h

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14

Step two

find the area of the semicircle

the area of a circle is given by

A_{c}=\pi  \frac{d^{2}}{4}\\

but, we need the area of  half circle, we need divide this by 2

A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}

now the diameter of the semicircle is 2, put this value into the equation

A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\

find the total area

total area= area of the trapezoid +area of the semicircle

total\ area= 14+\frac{\pi }{2} \\total\ area=15.6

so, the total area is 15.6 square units

Have a good day.

5 0
4 years ago
Convert the following decimal to a fraction.
alukav5142 [94]
375/1000. You can then reduce that to get 3/8. So the answer is 3/8
3 0
3 years ago
PLEASE HELP ME I NEED HELP ASAP!!!! PLEASE HELP ON A AND B
valina [46]

Answer:

<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>

Step-by-step explanation:

a)

The opposite sides of the rectangle are of equal length.

Therefore we have the system of equations:

\left\{\begin{array}{ccc}3y=2+x&\text{subtract 2 from both sides}\\3x=2+x+5y&\text{subtract x from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3y-2=x&(*)\\2x=2+5y&(**)\end{array}\right

Substitute from (*) to (**):

2(3y-2)=2+5y\qquad\text{use distributive property}\\\\(2)(3y)+(2)(-2)=2+5y\\\\6y-4=2+5y\qquad\text{add 4 to both sides}\\\\6y=6+5y\qquad\text{subtract 5y from both sides}\\\\\boxed{y=6}

Put the value of y to (*):

x=3(6)-2\\\\x=18-2\\\\\boxed{x=16}

b)

Calculate the width and the length:

3x = 3(16) = 48\\\\3y = 3(6) = 18

The perimeter:

P = 2w + 2l\\\\P = (48)(18)=864\ in

8 0
3 years ago
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