Answer:
It would be 123
Step-by-step explanation:
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
The interest in dollars and cents did the account earn should be considered as the $1,105.
Calculation of the interest in dollars:Since deposited amount is $6,500
The interest rate should be 4.25%
The time period is 4 years
So here the interest should be like
= ($6,500) (4.25%) (4)
= $1,105
hence, The interest in dollars and cents did the account earn should be considered as the $1,105.
Learn more about interest rate here: https://brainly.com/question/24656271
If x= -3 is one solution of x2 + 9x + 18, what is the other solution?
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the length of \overline{AC}? AC ?
Answer: [tex]\overline{AC}=[/tex] 12.5
Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.
Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:
[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)
Substituting (2) into (1):
[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]
We want to find f, so:
[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]
[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]
f = 7.5
The length of [tex]\overline{AC}[/tex] is
[tex]\overline{AC}=f+5[/tex]
[tex]\overline{AC}=7.5+5[/tex]
[tex]\overline{AC}=12.5[/tex]
The length of the hypotenuse of triangle ABC is 12.5 units.
Answer:
x = 20
Step-by-step explanation:
Please help I really need it I will be giveing 15 points to whoever can help me
Answer:
the slope is: -1/2
y-intercept: (0,-f)
hopefully that makes sense
A TV has a listed price of $ 796-99 before tax. If the sales tax rate is 6.75% find the total cost of the TV with sales tax included
Round your answer to the nearest cent, as necessary
Answer:
$850.79
Step-by-step explanation:
Assuming "$ 796-99" meant $796.99
796.99 increase 6.75% =
796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825
Eve took one of her friends out to lunch. The lunches cost $100 and she paid 3% sales tax. If
Eve left a 15% tip on the $100, how much in total did she pay?
In the accompanying diagram of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 25 and CB = 10, what is the length of DB? (if you don’t know dont answer)
Answer:
The answer is 15
Step-by-step
if that didnt work sorry
plzzzz helppp I need answer
Answer:
[tex] \huge \: 250 \: mL[/tex]
Step-by-step explanation:
tips and formulas:1 L=1000mLgiven:amount:1 L 500mLdistributed in 6 glasseslet's solve:1 L =1000 mL
1L 500 mL =1000+500 mL
=1500 mL
juice in 6 glasses 1500 mL
juice in 1 glass 1500÷6 mL
=250 mL
Factorise x + 5x + 6
Answer:
6x+6
Step-by-step explanation:
Combine like terms:
x + 5x +6
6x+6
mrs. kelly asked her students to plot the number of books they read over summer. Using the dot plot, how many students answered the question?
Answer:
18
Step-by-step explanation:
Add all the dots. 2+1+3+2+6+3+1=18
Help what do I fill in!?!
Answer:
6 AND 8
Step-by-step explanation:
How many square meters are enclosed in the track?
Answer:
For this case using the figure attached we can separate the total area in 3 parts.
For this case and represent the area for a semicircle and the A2 represent the area for a rectangular figure.
We can find the individual areas like this:
For the rectangular shape we have:
And the total area would be:
Replacing we got:
Step-by-step explanation:
Answer:
for me on my test its 40L 60m and so the length time width will get you 2.4k, 2400 square meters
Step-by-step explanation:
60x40
Evaluate 52. Check all that apply.
The base is 5.
The exponent is 2.
The expanded form is 2 × 2 × 2 × 2 × 2.
The expanded form is 5 × 5.
52 = 25
52 = 32
Answer: a, b, d, e
Step-by-step explanation: just got it right on edge 2021
Answer:
a,b,d,e
Step-by-step explanation:
A math workbook is 0.5 in. thick. how many of these book will fit on a shelf that is 36 in. long?
Answer:
72 books will fit on the shelf
Help asap please!! I will mark you as brainliest :)
Answer:
It would be a isosceles
Step-by-step explanation:
Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans. He pays with a £10 note and gets 80p change. How much does a tin of beans cost in pounds, £?
Answer:
£0.8
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
Hence,
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.6 / 2
x = 0.8
Hence, a tin of baked beans cost £0.8
Answer:
£0.80
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
lol
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.60 / 2
x = 0.80
YES WE GOT IT, a tin of baked beans cost £0.80
Write a story about temperatures that this expression could represent:
27 + (–11)
Choose the graph of the solution to this inequality. c – 12 ≥ –16 A number line with a closed dot at negative 4 shaded to the right. A number line with a closed dot at 4 shaded to the left. A number line with a closed dot at 4 shaded to the right. A number line with a closed dot at negative 2 shaded to the right.
A number line with a closed dot at -4 is shaded to the right. Option A is correct.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
Given inequality,
c – 12 ≥ –16
Add 12 on both sides
c ≥ -4
So the required number line would be as a closed dot at -4 and shaded to the right.
Thus, A number line with a closed dot at -4 is shaded to the right. Option A is correct.
Learn more about number line here:
brainly.com/question/17683084
#SPJ2
How did he get from 3^-16/3/3^-8/3 to 0.00285333857/0.00285333857??? (The circled part) Because when I put it in the calculator I don’t get the decimal I was suppose to get.
Step-by-step explanation:
[tex] \frac{ {3}^{ - \frac{16}{ 3} } }{ {3}^{ - \frac{ 8}{3} } } = \frac{0.002853338}{0.05341665075} [/tex]
I think, he made a mistake because the exponents have different values but then if you'll look at his results, he just wrote the same thing. If you want, you could post the original problem, and I'll solve it for you :)
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
additive inverse of 3x - 6.
Answer:-3
Step-by-step explanation:
Which fraction does point A show?
A.3/7
B.3/4
C.8/5
D.7/4
Answer:
d 7/4
Step-by-step explanation:
what ya'll think????
Answer:
Wow that is amazing!
Step-by-step explanation:
Also thanks for the free points :D
Have a great day <3
what is 18.75 rounded two decimals places
The answer would be 18.8
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!
Answer:
80 x by the power of 5 and y is by the power of 3
Answer:
80x⁵y³
Step-by-step explanation:
5x³y(-4xy)²
=5x³y*16x²y²
=80x⁵y³.
A coach buys a uniform and basketball for each of the 15 players on the team. Each
basketball cost $9.50. The coach spends a total of $450 for uniforms and basketballs.
What is the cost, in dollars, of each uniform?
$
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
help QUICK I HAVE 17 MIN LEFT WILL GIVE BRAINLIEST
Answer:
5 : 9
Step-by-step explanation:
A recipe calls for 3/2 cups of sugar to make 24 cookies. How many cups of sugar are needed to make 60 cookies?
Answer:
3.75 or 3 and 3/4
Step-by-step explanation:
3/2 Cups = 24 Cookies
?Cups 60=Cookies
Divide 60 by 24, which is 2.5
2.5x3/2 is 3.75 or, in fraction, 3 and 3/4
3 and 3/4 cups of sugar and needed to make 60 cookies