Answer:
A = $13,116.03
Step-by-step explanation:
the equation used for compound is A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.
A = 10,000.00(2.71828)^(0.03875)(7)
There are 3 yellow marbles and 4 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble ? Write your answer as a fraction in the simplest form
Answer:
3/7
Step-by-step explanation:
Because there are three yellow marbles and 7 marbles in all
Find the hypotenuse, , of the triangle
Answer:
hypoténuse = 15 in
b ² = 15² - 9²
b ² = 144
b = √144 = 12
Perimeter = 15 + 9 + 12 = 36 inches
Step-by-step explanation:
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Find the missing side of the triangle.
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
We should find the leg of this right triangle, not the hypotenuse.
The hypotenuse, the longest side, is already given to us.
We can find it using Pythagoras' Theorem:
[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].
We know b and c, we need to find a.
[tex]\bf{a^2+9^2=15^2}[/tex] | square
[tex]\bf{a^2+81=225}[/tex] | subtract 81
[tex]\bf{a^2=144}[/tex] | square-root both sides
[tex]\bf{a=\pm12}[/tex]
And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{a=12}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]
Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2
Answer:
D
Step-by-step explanation:
to find a term in the sequence multiply the previous term by r , then
a₄ = - 8 , so
a₅ = - 8 × 0.5 = - 4
a₆ = - 4 × 0.5 = - 2
The sixth term of the sequence will be negative 2. Then the correct option is D.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The fourth term (a₄) is negative 8 and the common ratio is 0.5.
Then the sixth term will be
For n = 5, we have
a₅ = a₁ · (r)⁵⁻¹
a₅ = a₁ · (r)⁴
a₅ = a₁ · r³ · r
a₅ = a₄ · r
a₅ = -8 · 0.5
a₅ = -4
Then the sixth term of the sequence will be
a₆ = a₁ · (r)⁶⁻¹
a₆ = a₁ · (r)⁵
a₆ = a₁ · r⁴ · r
a₆ = a₅ · r
a₆ = -4 · 0.5
a₆ = -2
The sixth term of the sequence will be negative 2.
Then the correct option is D.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
#SPJ2
2. You bought 8 bags of gummy bears and they cost $2.79 each. How much did
the gummy bears cost after you included the 8% sales tax?
Your answer
Answer:
$24.11
Step-by-step explanation:
Find the total price of the gummy bears by multiplying the 2.79 each bag by the 8 bags. 2.79×8=22.32.Convert the percentage into a decimal. Move the decimal place that is after the 8% (same as 8.0% if you need to visualize the location of the decimal) to 2 places to the left. This means your decimal is 0.08.Multiply the decimal by the total untaxed cost from the first step. This will give you the tax. 22.32×0.08=1.7856, which rounds to currency of 1.79. Add the tax and the untaxed total together to get the grand total. 1.79+22.32=24.11Your answer is $24.1112. You have $10 to spend on charms and stickers. The equation
0.5x + 0.25y = 10 represents this situation, where x is the number
of charms and y is the number of stickers. How many stickers can
you buy when you do not buy any charms?
Answer:
40
Step-by-step explanation:
the easiest way to solve this equation is to divide 10 by .25 since, in this situation, all that is being bought are stickers
10/.25=40
hope this helps
In August, 6.35 inches of rain fell. In September, 10.2 inches fell. In both October and November, 5.85 inches fell. How much rain fell from August through November?
A: 13.22 inch
B: 19.07 inch
C: 22.4 inch
D: 28.25 inch
Answer:
28.25
Step-by-step explanation:
simple addition
6.35 + 10.2 + 5.85 + 5.85 = 28.25
What is 192 rounded to the nearest ten
Answer:
190
Step-by-step explanation:
192 is closer to 190 than it is to 200, so the answer is 190.
Hope that helps!
Answer:
190
Step-by-step explanation:
192 looking a the ones number (2) if the last number is 5 or higher round up if not go down. therefore 190
help on this please.
Answer:
x = 46°
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then
x + 134° = 180° ( subtract 134° from both sides )
x = 46°
If x=3, y=-2, z=-1 ,find the value of 3x-4y+z
I really need help
Answer:
16
Step-by-step explanation:
Since, x=3, y=-2, z=-1
We can Substitute:
3(3)-4(-2) + -1
9 -4(-2)+-1
9 + 8 + -1
17 - 1
16
~Lenvy~
Which number rounds to 5,600 when its rounded to the nearest hundred?
Answer:
number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590
Step-by-step explanation:
Do mark BRAINLIEST
if 2.5kg of potatoes cost £1.40
work out the cost of 4.25kg of potatoes
Answer:2.5 kg of potatoes cost £1.40 Work out the cost of 4.25 kg of potatoes. 1.25kg=70p 2.5 kg=1.40 3.75 kg=2.10 Done.
Step-by-step explanation: hope this helps love!!
Jesse and mark are jogging along the route shown at a rate of 12 miles per hour. they start by jogging south along capitol street for 1 mile, then turn east on h street and jog for 1.75 miles. at that point, jesse is tired and decides to walk home along florida avenue at a rate of 5 miles per hour. mark plans to jog back the way they came. jesse wants to find out who will arrive home first and by how much time. which statements should he consider when solving the problem? check all that apply. a triangle. the sides are capitol street, h street, and they hypotenuse is florida avenue. jesse will walk home a distance of approximately 2.0 miles as found by evaluating 1 squared 1.75 squared = d squared and then 1 3.0625 = d squared. jesse will take about 0.4 hours to walk the rest of the way home as found by 2.0 = 5 (t). jesse will walk home a distance of approximately 2.25 miles as found by 1 squared 1.75 squared = d squared and then 2 3.0625 = d squared. mark will jog home a distance of 2.75 miles. it will take mark about 0.23 hours to jog home as found by 2.75 = 12 (t). mark will jog home a distance of 2.25 miles. mark will get home about 0.17 hours (or 10 minutes) sooner. mark will get home about 0.21 hours (or 12.5 minutes) sooner.
Answer:
I the person above is correct.
Step-by-step explanation:
Answer:
1,2,4,5, and 7
Step-by-step explanation:
edge 2022
Ill give brainliest
and 45 points
Answer:
B. 2 3/4 lbs
Step-by-step explanation:
there ar 16 ticks on a scale, the pointer is on 12, meaning it is 12/16, whihc is answer b
Answer:
its b
Step-by-step explanation:
looked it up
Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem
Answer:
50 cm²
Step-by-step explanation:
Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:
A = 1/2(d1)(d2)
where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...
A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon
__
Alternate solution
If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...
A = 1/2r²sin(α)
where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...
A = n/2·r²·sin(360°/n)
For n = 4 and r = 5 cm, the area is ...
A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square
_____
Additional comment
The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:
r = a·sec(180°/n)
Another formula uses the apothem directly:
A = n·a²·tan(180°/n)
Find the slope of the line containing the following points by using the slope-formula, below: (-3, 6) (5, -9)
Answer:
Step-by-step explanation:
(x₁, y₁) = (-3 , 6) &
(x₂ , y₂) = ( 5 , -9)
[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\dfrac{-9-6}{5-[-3]}\\\\\\=\dfrac{-15}{5+3}\\\\\\=\dfrac{-15}{8}[/tex]
Ridgewood Bank is offering 5% simple interest on all of their savings accounts. If an account is opened with a starting balance of $200, how much money will be in the account after 3 years if no money is withdrawn?
230
Step-by-step explanation:[tex]We\ know\ that:[/tex]
[tex]\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.[/tex]
Formulate and substitute:
[tex]Substitute\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.into\ formula\\ F=P+prt\\ F=200+200rt[/tex]
Calculate
[tex]200\times (1+3\times 0.05)[/tex]
Calculate the product or quotient
[tex]200\times (1+0.15)[/tex]
Calculate the sum or difference
[tex]200\times 1.15[/tex]
Calculate the product or quotient
[tex]230[/tex]
I hope this helps you
:)
If the sum of the 8th & 9th terms of an arithmetic progression is 72 and the 4th term is -6. Find the common difference.
Answer:
Correct Answer: Option D
Step-by-step explanation:
9 1/3
hope that helps
3647 divided by 6
Show work out
Answer:
607.83333333333......... hope it helps.........
Answer:
607.8
Step-by-step explanation:
just use your calculator 3647 divided by 6 and you get that answer
2 1/4 ÷ 4 1/5 the anser can not be improper
Answer:
15/28, 15/28, 15/28
Step-by-step explanation:
1. Is simplified
2. Divided
3. Evaluated
(Yes I know there the same but its just in case.)
and Intervention
1. The library is 5 miles from the post office. How many yards is the library
from the post office?
yards
The diagnols of a rhombus are 21 and 16 centimeters long find the area of the rhombus
Answer:
168 cm²
Step-by-step explanation:
The area of a quadrilateral with diagonals that intersect at right angles is half the product of the lengths of the diagonals. A rhombus is one such quadrilateral, so the area of this one is ...
A = 1/2(d1)(d2)
A = (1/2)(21 cm)(16 cm) = 168 cm²
The area of the rhombus is 168 cm².
The baker used 18 eggs for 5 cakes. How many eggs were used per cake?
Answer:
3.6 eggs
Step-by-step explanation:
You would divide 18 by 5 to find how much eggs used per 1 cake.
18 ÷ 5 = 3.6
Answer:18 x 5 so that would make it 90.
I think that's correct.
Juan has forty dollars in his jacket. Every day he spends half of the money that is in the jacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On what day will he start with less than $3.00 in his jacket?
A) Friday
B) Thursday
C) Tuesday
D) Saturday
Answer:
FridayStep-by-step explanation:
Monday he is left with 20,
Tuesday he will start with 20 and end with 10
Wednesday he will start with 10 and end with 5
Thursday he will Start with 5 and end with 2.5
Friday Start with 2.5
which is >3
MARK ME AS BRAINLISTAnswer:
D) Friday
Hope it helps...
Jake opens a credit card with 18% annual interest compounded monthly. If he charges $800 on the card and never pays it off, how much will he owe the credit card company in 2
years? Round to the nearest cent.
Work Shown:
A = P*(1+r/n)^(n*t)
A = 800*(1+0.18/12)^(12*2)
A = 1,143.60224954321
A = 1,143.60
Notes:
P = 800 is the principal. It is the amount loaned to Jake.r = 0.18 is the decimal form of the 18% interest raten = 12 because we're compounding monthly, i.e. 12 times a yeart = 2 = number of yearsFor more information, check out the compound interest formula.Find a general formula for the nth term of the geometric series with
Answer:I think it would be the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
solve pls brainliest
Answer:
10
Step-by-step explanation:
[tex]\frac{-8}{1}[/tex] * [tex]\frac{-5}{4}[/tex]= [tex]\frac{40}{4}[/tex]= 10
Write the amount in standard scientific notation.
1.72E-3 millimeters
[?]x[ ]^ millimeters
Answer:
1.72e-3 = 1.72 x 10-3 = 0.00172
Step-by-step explanation:
72e-3 is a scientific notation used in mathematics, physics, chemistry, astronomy and other sciences to handle either very large or very small numbers. With scientific notation adding, subtracting, multiplying and dividing numbers becomes much simpler
7 j + 3 - 4 j + 9 terms and like terms
Hiya! :D
My name is Violet, and I will be helping you on your question!
[tex]\sf{7j \: + 3 \: - 4j \: + \: 9}[/tex]
[tex]\sf{Group \: like \: terms:}[/tex]
[tex]\sf{= 7j \: - 4j \: + \: 3 \: + \: 9}[/tex]
[tex]\sf{Add \: the \: numbers:}~ 3 \: + \: 9 \: = 12}[/tex]
[tex]\sf{= 7j \: - \: 4j \: + \: 12}[/tex]
[tex]\sf{Add \: similar \: elements:}~ 7j \: - 4j \: = \: 3j}[/tex]
[tex]\sf{= 3j \: + \: 12}[/tex]
Hope It Helps ! ^-^
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
[tex]\huge \pmb {\frak{Violet}}[/tex]
please help me please
Answer: 8 x 2 = 4
1 x 4 = 4
9 x 3 = 27
2 x 4 = 8
Step-by-step explanation:
Rob needs to mix 4.5 liters of liquid fruit punch concentrate with 0.5
liters of water to make fruit punch. Rob has 13.5 liters of fruit punch
concentrate. How much fruit punch can he make?