elliot borrowed $3800 from the bank for 3 years at a 4.25% simple interest rate?
$161.50
Step-by-step explanation:
4.25% of $3800 is $161.50
Find the missing angle in the triangle below
Answer:
120
Step-by-step explanation:
Exterior angle theorem
50 + 70 = 120
Answer:
120
Step-by-step explanation:
the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer
PLEASEEE HELPPPP!!!!!
Answer:
the answer is 9.85
Step-by-step explanation:
the answer is 9.85 because the area is 19.7 so all you have to do is divide it by 2
I need some help with this plz
......................
Answer:
45/100Step-by-step explanation:
I hope l helped you. ❤❤Mary read six books in January, four books in February, and eight books in March.What
was the average number of books read each month?
Complete the statement to describe the expression (a+b+c)(d+e+f)
The expression consists of _ factors, and each factor contains _ terms.
Fill in the blanks.
Answer:
Please check the explanation.
Step-by-step explanation:
We know that if we multiply 3 and 4, we get 12.
In other words, 3 × 4 = 12
Thus, 3 and 4 are factors of 12.
now
Given the expression
[tex](a+b+c)(d+e+f)[/tex]
The given expression consists of two factors which are:
(a+b+c)(d+e+f)We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.
For example, in the expression, 4b + 2, 4b and 2 are terms.
so,
The factor (a+b+c) consists of 3 terms. These terms are a, b and c.Similarly, the factor (d+e+f) consists of 3 terms. These terms are d, e, and f.What is the value of x + y + 5 if x = 6 and y = 15?
Answer:
26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x + y + 5
x = 6
y = 15
Step 2: Evaluate
Substitute: 6 + 15 + 5Add: 21 + 5Add: 26Idk what to choose!
Answer:
AAS
Step-by-step explanation:
im bad at this stuff you can take your risk or look at other answers
Help easy math question!!!
Answer:
The length of the third side of the triangle is 30.
Step-by-step explanation:
Here is the formula for the Pythagorean Theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!
We need to multiply 40 times 40 and 50 times 50.
40 times 40, or 40 squared, equals to 1600.
50 times 50, or 50 squared, equals to 2500.
[tex]c^{2} - b^{2} = a^{2}[/tex]
Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.
Answer:
30
Step-by-step explanation:
c=√a^2+b^2
a=√c^2-b^2 = √50^2-40^2 = 30
Mrs smith invested r60 000 at a bank for two years with compound interest.in the first year she received an interest rate of 4,3% per annum while in the second year the interest rate was 5,1 per annum mrs smith stated that she would have enough money at the end of second year to pay the residual value of the ford figo show all calculations whether het statement is correct
By using the formula of compound interest we can say that at the end of second year Mrs. Smith will have $65,771.58.
What is Compound Interest?The interest earned from the initial deposit plus the cumulative interest is known as compound interest.
A = P(1 + r/n)^(nt), where P is the principle balance, r is the interest rate, n is the number of times interest is compounded per time period, and t is the total number of time periods, is the formula for compound interest.
Given that,
For first year,
P (principal) = $60,000.00
R = 4.3%
n = 1
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 4.3/100
r = 0.043 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 60,000.00(1 + 0.043/1)^(1×1)
A = 60,000.00(1 + 0.043)^(1)
A = $62,580.00
A = P + I where,
P (principal) = $60,000.00
I (interest) = $2,580.00
So, by the end of second year Mrs. Smith will have $62,580.00.
Now, the amount calculated from first year will become the principle for second year.
For second year,
P (principal) = $62,580.00
R = 5.1%
n=1
t=1
First, convert R as a percent to r as a decimal
r = R/100
r = 5.1/100
r = 0.051 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 62,580.00(1 + 0.051/1)^(1×1)
A = 62,580.00(1 + 0.051)^(1)
A = $65,771.58
A = P + I where,
P (principal) = $62,580.00
I (interest) = $3,191.58
So, by the end of second year Mrs. Smith will have $65,771.58.
To learn more about compound interest, visit:
https://brainly.com/question/14295570
#SPJ9
given a piece wise
function f(x)={2x,x<1 5, x=1
find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)
f(x)=4sin(x), [0,π]
There is only one value of c that satisfies the requirements.
=======================================================
Work Shown:
Let's compute the function value at the given endpoints of the interval.
[tex]f(x) = 4\sin(x)\\\\f(\pi) = 4\sin(\pi) = 0\\\\f(0) = 4\sin(0) = 0\\\\[/tex]
Which means,
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(\pi)-f(0)}{\pi-0}\\\\f'(c) = \frac{0-0}{\pi}\\\\f'(c) = \frac{0}{\pi}\\\\f'(c) = 0\\\\[/tex]
We want to find all values of c such that the derivative is 0.
This can be rephrased into wanting to solve [tex]4\cos(x) = 0\\\\[/tex] since the derivative of sine is cosine
In other words, [tex]f(x) = 4\sin(x)\\\\[/tex] turns into [tex]f'(x) = 4\cos(x)\\\\[/tex]
Solving that equation leads to:
[tex]4\cos(x) = 0\\\\\cos(x) = 0\\\\x = \frac{\pi}{2}\\\\[/tex]
Use a reference table or the unit circle to determine this.
This is the value of c that satisfies f ' (c) = 0, such that [tex]0 < c < \pi[/tex]. No other value of c works.
If you graphed f(x) = 4sin(x), and only focused on the interval [0,pi], then you'll find that there's a horizontal tangent at the point (pi/2, 4). Note how the endpoints have the same y value so that's why the average rate of change over [0,pi] is 0.
Side note: this is an application of Rolle's Theorem
what is 1 plus -1
I lsdkfjaofh;khr;fjhdkjafh;fdokja;
Answer:
0
Step-by-step explanation:
ndjejdge Hell wkdbs hru osdhdvgd
Answer: i have no clue
Step-by-step explanation:
A concession stand sells bags of popcorn for $3 and cotton candy for $2. A customer purchased
bags of popcorn as well as cotton candy and spent $12.
14/54=21/m what is the number for m?
Answer:
m=81
Step-by-step explanation:
14 x 1.5 = 21
54 x 1.5 = 81
Answer:
m = 81
Step-by-step explanation:
divide by 54/14 from both sides.
you'll remain with 81/m
then divide with m/1 on both sides giving you m= 81
four consecutive integers sum to 22 what is the least of these integers
Answer:
4
Step-by-step explanation:
To get 22 with four consecutive integers, we need the integers 4, 5, 6, and 7.
(4 and 5 equal 9, then 9 and 6 equal 15, and 15 and 7 equal 22.)
4 is the smallest of these four, and thus the least of these.
A car travels 195 miles in 3 hours assuming that the distance the car travels write an equation that represent this relationship in the form of d=kt
Answer:
195 = 3 mph
Step-by-step explanation:
This is probly wrong but I tried
if y=2
Evaluate the following expression
4(2y-3)
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4(2y - 3)
y = 2
Step 2: Evaluate
Substitute in y: 4(2(2) - 3)Multiply: 4(4 - 3)Subtract: 4(1)Multiply: 4Answer:
4
Step-by-step explanation:
Substitute y for 2
4((2×2)-3)
Simplify
4(4-3)
Simplify further
4×1
4×1=4
vector a~ is 2.54 units long and points in the positive y direction. vector b~ has a negative x component 2.32 units long, a positive y component 2.88 units long, and no ~z component. find a~ · b~ .
Therefore [tex]\overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]
Ax=-2.54 Ay=2.32
The sum of two or more vectors is called the Resultant.
The Resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.
[tex]$$\mathrm{A}_{\mathrm{x}}=-3.00, \mathrm{~A}_{\mathrm{y}}=2.00$$(a) $\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}$(b) $|\overrightarrow{\mathrm{A}}|=\sqrt{\mathrm{A}_{\mathrm{z}}^2+\mathrm{A}_{\mathrm{y}}^2}=\sqrt{(-3.00)^2+(2.00)^2}=3.61$$$\theta=\tan ^{-1}\left(\frac{\mathrm{A}_{\mathrm{Y}}}{\mathrm{A}_{\mathrm{K}}}\right)=\tan ^{-1}\left(\frac{2.00}{-3.00}\right)=-33.7^0$$[/tex]
[tex]$\theta=180^{\circ}+\left(-33.7^{\circ}\right)=146^{\circ}$[/tex]
[tex]$\mathrm{R}_{\mathrm{x}}=0, \mathrm{R}_{\mathrm{y}}=-4.00$ and $\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$, thus $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}$ and$$\mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}}=0-(-3.00)=3.00, \mathrm{~B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=-4.00-2.00=-6.00$$[/tex]
[tex]\text { Therefore, } \overrightarrow{\mathrm{a,b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]
[tex]\text { Therefore, } \overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]
learn more about Vector sum: brainly.com/question/10435343
#SPJ4
A friend gives you two baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 4x + 2 describes the number of cards, y, you have after x weeks.
Discuss which points on the line do not make sense in this situation. Then plot three more points on the line that do make sense.
Answer:You have 2 cards upfront, so the constant term in this linear equation is 2. The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection). ;)
y = 2 + (rate of acquisition of cards)(time)
y = 2 + rt
what is the length of segment AB?
Which transformation does NOT appear to be a rotation?
Answer:
a
Step-by-step explanation:
bc there zapping at the same spot which will not rotate around
Anybody know the answer to these
Find the sale price to the nearest cent
$53 pair of jeans with a 20% discount
Answer: It is $42.4
Step-by-step explanation: Multiply (0.20)(53), you get 10.6, now that's the price that is discounted, so subtract that from the total, to get $42.4. If you want to check your answer, do 42.4/53 and you would get 0.80, or 80%. That is what you should get since you have a 20% discount from 100% of a product.
Answer:
the sales price is $10.60
Step-by-step explanation:
to find 20% of 53, I multiplied 53 by 20 and 100 by a (i used the variable a to substitute for the answer we are going to get)
53 x 20 = 1060
100 x a = 100a
In order to get "a" we have to divide by 100 for each number.
1060 ÷ 100 = 10.6
100a ÷ 100 = a
in conclusion, a = 10.6, or $10.60 hope this helps :)
Dasher was super hungry after his big night so he ordered 4 candy cane pies. He ate 3/5 of the pies on the way home. How much pie did he have left when he got home?
Answer:
He had 3 2/5 pies left when he got home.
Step-by-step explanation:
Hope this helped have an amazing day!
The fraction of candy cane pies that Dasher left is 8/5.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.
As per the given,
Number of candy cane pies that Dasher order = 4
Fraction he ate = 3/5
Left = 4 - ate
Left = 4 - (3/5)4
Left = 4(1 - 3/5)
Left = 4(2/5)
Left = 8/5
Hence "The fraction of candy cane pies that Dasher left is 8/5".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
Barinda is considering running for student government. However, she knows she will have to work about 10 hours fewer per week if elected, and she makes $ 7 an hour. The campaign will also cost her about $100 in campaign buttons and posters. What is her opportunity cost for serving on student government if elected if she actively serves for 30 weeks?
Answer: $2,200
Step-by-step explanation:
The opportunity cost is the sum of the amount she spent on the election and the amount she would lose in total from serving on the student government.
Amount she would lose in wages
= 7 * 10 hours * 30 weeks
= $2,100
Opportunity cost = 2,100 + 100
= $2,200
if an is a monotone sequence and if an has a convergent subsquence then an converges to the same limit
limₐ→∞xₙₐ= limₙ→∞xₙ= L;
Let xₙ be a monotonically increasing sequence. Thus:
xₙ₊₁≥xₙ
Consider a subsequence of xₙ namely xₙₐ. Then:
xₙₐ≥xₙ, ∀nₐ≥n
We are also given that:
limₐ→∞xₙₐ=L
Given that fact we know that xₙₐ is bounded above. Therefore:
xₙ≤xₙₐ≤L
Now by monotone convergence theorem a monotone bounded sequence must be convergent. Also by uniqueness of a limit for a convergent sequence and the fact that all its subsequences are also convergent to the same limit:
limₐ→∞xₙₐ= limₙ→∞xₙ= L
To learn more about this; visit: https://brainly.com/question/24823962
#SPJ4
I'll give brainliesst! just help me please...
Answer:
The second table shows a linear function
Step-by-step explanation:
The linear function intersect at -2
9/12 divided by 1/4 in a model
Answer:
9/3 or 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
9/12 divided by 1/4 is 9/12 x 4/1=36/12=3