Damien deposited $250 in an account that earned 3.75% interest compounded annually.
He did not make additional deposits or withdrawals.
What will be the balance in this account at the end of 4 years?
The balance in his account at the end of 4 years will be $289.67.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Principal amount (P) = $250
Rate (r) = 3.75%
Time (t) = 4 years
Now,
Since, We know that;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
Where, A is the future amount.
P is the principal amount.
t is the time.
r is the rate.
Thus, By substitute all the values, we get;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
⇒ A = 250 (1 + 3.75/100)⁴
⇒ A = 250 (103.75/100)⁴
⇒ A = $289.67
Thus, The balance in his account at the end of 4 years will be $289.67.
Learn more about the principal amount visit:
https://brainly.com/question/25720319
#SPJ2
A town plans to put a triangular garden in the town square. The length of the base of the garden will be 9 meters, and the height will be 16 meters. What will be the area of the garden? Enter your answer in the box. M2.
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
now, we only need to calculate :
9 × 16 / 2 = 9 × 8 = 72 m²
Answer: 72
Hope this helps!
How many cups are equal to 23 pints? Enter your answer in the box
Answer:
5 and 3 pints
Step-by-step explanation:
there are 4 pints in 1 cup.
23 pints is equal to 46 cups using the conversion factor 2 cups = 1 pint.
As, 2 cups = 1 pint.
Using the conversion factor 2 cups = 1 pint, convert 23 pints to cups.
So, to convert pints to cups, multiply the number of pints by 2 as
= 23 pints x 2 cups/pint
= 46 cups
Therefore, 23 pints is equal to 46 cups.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ6
7 hundreds+11tens+5ones=
Simplify and leave in radical form √3^3 √2
Answer:
[tex]3\sqrt{6}[/tex]
Step-by-step explanation:
[tex](\sqrt{3} )^{3} \sqrt{2}[/tex]
[tex](\sqrt{3} )^{3}=\sqrt{3} \sqrt{3} \sqrt{3} =3\sqrt{3}[/tex]
[tex]3\sqrt{3} \sqrt{2} =3\sqrt{6}[/tex]
Can someone help me on 2 and 3
Answer:
2: Rate of change is the comparision between the x and y values. 3: For one pound of fish, it costs $15
Step-by-step explanation:
2: For example, if you have 4y and 1x, the rate of change is 4 because rise/run, 4/1= 4
3: The cost would be y while pounds of fish would be x. so $15/1 pound = 15
Hope this helps
Answer:
Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.
Step-by-step explanation:
2. Say you have like 5y and 1x, the rate of change is 5 because rise/run, 5/1= 5
Solve using elimination. x − 8y = 19 9x + 8y = 11 (, )
Answer:
[tex](3;-2)[/tex]
Step-by-step explanation:
Let's add together the two equations
[tex]I + II : x-8y +9x +8y = 19+11 \rightarrow 10x=30 \rightarrow x =3[/tex]
At this point I would recommend simply using the value of x in the firs equation to find y. [tex]3-8y=19 \rightarrow -8y=16 \rightarrow y=-2[/tex]
Or just multiply the first by 9 and subtract the second.
[tex]9\times I-II: 9x-72y-9x-8y=171-11 \rightarrow -80y=160 y=-2[/tex]
if five arithmetic means are inserted between -9 and 9, what is the third mean?
Answer:
???????????????????????
Write 0.933333333 as a fraction.
Answer:
[tex]\frac{14}{15}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating 3 after the decimal point.
let x = 0.93333333333 ( multiply both sides by 10 and 100 )
10x = 9.3333333333 → (1)
100x = 93.333333333 → (2)
Subtract (1) from (2) , eliminating the repeating decimal
90x = 84 ( divide both sides by 90 )
x = [tex]\frac{84}{90}[/tex] = [tex]\frac{14}{15}[/tex]
Thus
0.933333333333 = [tex]\frac{14}{15}[/tex]
-20 divided 2+ (-15)=
Answer:
-35
Step-by-step explanation:
Using the rules of BIMDAS, division goes before addition, hence -20/2 which gives you -10
Put that in the equation and it would be:
-10 + (-15)
A negative and a positive make a negative hence, you could simply write it as:
-10 - 15
Which equals -35
ZA=
Round your answer to the nearest hundredth.
A
?
7
4
B
C
Answer:
Please post the full question/picture ^-^
Step-by-step explanation:
I believe some part of the question is missing.
what is the slope of the function represented by the table of values below
Answer:
The correct option is A....
Step-by-step explanation:
We have a table of x,y pairs. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
m = y2-y1 / x2-x1
m = 5-13/ 0-(-2)
m = -8/0+2
m = -8/2
m = -4
We can check this answer by using a different pair: Take the last two pairs.
m = -27-(-15)/ 8-5
m = -27+15/3
m = -12/3
m = -4
Thus the slope is -4
Solve the equation and enter the value of x below.
5x + 4 + 6x = 70
X =
Answer here
Step-by-step explanation:
5x+6x=70-4
11x=66
x=66/11
x=6
Juan makes $9 per hour at his job. The equation represents how much money he made yesterday. T=9h if Juan make (T) $76. 50 yesterday, how many hours did he work?
Which equation for g(x) represents the transformation of f(x) given that f(x) = x^2
g(x) = f(x) shifted left 2 units?
PLEASE HELPPP
Lets shift
[tex]\\ \rm\Rrightarrow f(x)=x^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=(x+2)^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=x^2+2x+4[/tex]
Answer:
g(x) = (x + 2)²
Step-by-step explanation:
In function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:
⇒ To shift f(x) b units to left → f(x + b)
Similarly, if we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:
⇒ To shift f(x) b units to right → f(x - b)
Given function f(x) = x²
Shift 2 units to the left: f(x + 2) = (x + 2)²
Therefore, g(x) = (x + 2)²
Lorena is designing a rectangular patio in her garden. She has enough tiles to cover 324 square feet. She wants the length of the patio to be 15 feet longer than the width. What dimensions should Lorena use for the patio?
Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by:
A = lw.
In this problem:
She has enough tiles to cover 324 square feet, hence A = 324.She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.Thus:
324 = w(15 + w)
w^2 + 15w - 324 = 0
w = -27 or w = 12.
We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.
The dimensions should be a width of 12 feet and a length of 27 feet.
You can learn more about the area of a rectangle at https://brainly.com/question/10489198
Which of the following is the greatest common factor of 60 and 64?
Answer:
Greatest common factor (GCF) of 60 and 64 is 4.
Step-by-step explanation:
The HCF of two numbers 60 and 64 is 4.
What is LCM?LCM is the least common multiple is the smallest number that is divisible by two or more than two given numbers.
We know that the greatest common factor of two or more than two numbers is the largest number that divides the given numbers completely.
Given we have to find HCF of 60 and 64.
2 can divide both the numbers but 4 also divides the numbers and n such no. more than 4 divide them completely and simultaneously.
∴ HCF of 60 and 64 is 4.
learn more about HCF here :
https://brainly.com/question/17240111
#SPJ5
HELPP with this math question
Answer:
Uhhhh i think its B?
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
angles 3 and 7 are corresponding angles, so they are equivalent!!
if you need me to explain the types of angles in a situation like this I gladly will! i hope this helped you!! <3
Simplify the following expression \sqrt(75)+\sqrt(108)=a\sqrt(b) If the expression is simplified completely, what does a equal and what does b equal
[tex] \sqrt{75} + \sqrt{108} = a \sqrt{b} [/tex]
[tex] \sqrt{75} = \sqrt{3 \times 5 {}^{2} } = 5 \sqrt{3} [/tex]
[tex] \sqrt{108} = \sqrt{2 {}^{2} + 3 {}^{3} } = 2 \times 3 \sqrt{3} = 6 \sqrt{3} [/tex]
[tex] \sqrt{75} + \sqrt{108} = 5\sqrt{3} + 6 \sqrt{3} = 11 \sqrt{3} [/tex]
[tex]a = 11[/tex]
[tex]b = 3[/tex]
Tasha is a single taxpayer. She has $90,000 in ordinary taxable income and $12,000 in capital gains on an investment she held for six years. Use the tables to complete the statement. Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 The tax rate Tasha will pay on her investment income is %.
Answer: 15%
Step-by-step explanation:
I hope this helps,
have an wonderful Day!
The tax rate Tasha will pay on her investment income is 15%.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Ordinary taxable income= $90,000
Capital gains= $12,000
Now,
The tax rate Tasha will pay on her investment income depends on her ordinary taxable income and the tax brackets for qualified dividends and long-term capital gains. Since Tasha’s ordinary taxable income is $90,000, she falls in the 15% tax bracket for her investment income.
Therefore, by the percentage the answer will be 15%.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ7
Hey whats up Solve for x on both problems
4,7
Step-by-step explanation:
17x+6=19x-2(being vertically opposite)
6+2=19x-17x
8=2x
x=8/2
x=4
10x-5=9+8x(being corresponding angle)
10x-8x=9+5
2x=14
x=14/2
x=7
PLS H ELP ME ANSWER THIS IN THE NEXT 5 MINUTES
Answer:
Step-by-step explanation:
2 hours/x speed
2.25 hours/x+5 speed
.25 hours/5 speed
20 mph
20 miles/1 hour
40 miles/2 hours
Answer:
I think it is 9
Velocity of a plane is 500 miles per hour west. What’s the speed of the plane?
Answer:
500 miles per hour
Step-by-step explanation:
Velocity is just speed with direction get rid of the direction and you have the speed.
Plot startroot 0.9 endroot on the number line. which inequalities are true? check all that apply. 0 < startroot 0.9 endroot startroot 0.9 endroot < 0.9 startroot 0.9 endroot < 1 startroot 0.9 endroot > startroot 1 endroot 0.9 > startroot 0.9 endroot< 1
The inequality which are true when the number line for √0.9 is plotted are equal to the option A and C.
[tex]0 < \sqrt{0.9}[/tex]
[tex]\sqrt{0.9} < \sqrt{1}[/tex]
What is the number line?The number line is the way of representation of number and digits in a arranged form to understand the data batter.
Plot startroot 0.9 endroot on the number line. The number line for the √0.9 is plotted and attached in the below image.
The value of √0.9 is greater than the zero as shown. Hence the correct inequality is,
[tex]0 < \sqrt{0.9}[/tex]
On the number line, the √0.9 is less than the number √1. Thus,
[tex]\sqrt{0.9} < \sqrt{1}[/tex]
Hence, the inequality which are true when the number line for √0.9 is plotted are,
[tex]0 < \sqrt{0.9}[/tex]
[tex]\sqrt{0.9} < \sqrt{1}[/tex]
Learn more about the number line here;
https://brainly.com/question/24644930
Answer: A and C :)
Step-by-step explanation: Got it right on edge! Love y'all and good luck!
Simplify -15(y^2)^4/-5y^3y^2
Answer:
-3y^8-3y^2
Step-by-step explanation:
while attencing a school carnival you estimate the ratio between children and adults is 2:1 there are 285 adults how many children are there please help ismy birthday coming up i might get in trouble
Answer:
570
Step-by-step explanation:
If the ratio is 2:1, or children:adults, then that means there are twice as many children as there are adults. This means you multiply the number of adults by two, which wiuld give you 570.
285 × 2= 570
How do I solve this?
Answer: sorry kid
that too easy
Step-by-step explanation:
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE SOMEONE HELP ME! I HAVE NO IDEA HOW TO SOLVE THIS- PLEASE GIVE SOUND EXPLANATION SO I CAN DO THE NEXT QUESTION MYSELF!!!!
Answer: Axis of Symmetry at x=1
Step-by-step explanation:
Internet Definition: The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric. To simplify, this line splits the graph of a quadratic equation into two mirror images.
So pretty much you see the "hill shape" on the graph... the highest part of the hill is the axis of symmetry so the axis of symmetry is at x=1
Hope this helps! :)
Please give step by step explanation
Answer: 8.4 cm
Step-by-step explanation:
Find the value of unknown angle .Also show the steps.