The answer of the given question based on the compound interest is , the difference in the amount earned is option (D) $10.21.
Angelica is considering savings options.
Bank 1, she can invest $500 compound interest for an annual rate of 2. 3%.
At bank 2, she can invest $500 at a simple interest rate of 2%.
How much more money would Angelica earn in 5 years with Bank 1 than Bank 2,
Bank 1 will earn an amount of A after 5 years on an initial investment of P as follows:
A = P(1 + r/n)^(n*t)
where:
P = 500r = 0.023n = 1 (annually)T = 5 years
A = 500 (1 + 0.023/1)^(1*5) = $593.11
Bank 2 will earn an amount of A after 5 years on an initial investment of P as follows:
A = P(1 + rt)
where:
P = 500r = 0.02t = 5 years
A = 500 (1 + 0.02*5) = $600.00
Therefore, the difference in the amount earned is:
$600 - $593.11 = $6.89 ≈ $7
Hence, the correct answer is option D $10.21.
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Find the length of the third side. If necessary, round to the nearest tenth.
17
25
Answer:
the real answer is 48 but if you round it to the nearest tenth it's 50
Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.
Television is measured by the diagonal. A 55-inch tv has an actual diagonal length of 54.8 inches. Its height is 27 inch Mr.Schlagers entertainment center is 49 inches wide will the tv fit the entertainment center?
Answer:
47.68 inches
Step-by-step explanation:
As seen in the diagram attached below we can see that the tv is a rectangle. We are given the diagonal and the height which means we have to find the length. Since the tv diagonal forms a right triangle we can use the Pythagorean theorem to solve for the length. This theorem would be the following.
[tex]a^{2} + b^{2} = c^{2}[/tex]
where a and b are the sides of the triangle and c is the diagonal.
[tex]27^{2} + b^{2} = 54.8^{2}[/tex]
[tex]729 + b^{2} = 3,003.04[/tex]
[tex]b^{2} = 2,274.04[/tex]
[tex]b = 47.68[/tex]
Finally, we can see that the length of the TV is 47.68 inches
You buy 5 candy bars for $2.00. Find the cost of 18 candy bars? First
write a proportion to find the unit rate(price per one candy bar). Then use
the unit rate to to find the cost of 18 candy bars?
Answer- $7.50
Step-by-step explanation: edg
3) Solve the System of Equations using Elimination/Combinations.
-2x-y=-4
x+2y=5
Answer:
[tex]y = 2 \\ x = 1[/tex]
Step-by-step explanation:
[tex]y = 2 \\ x = 1[/tex]
help guys soal integral
Answer:
E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]
Step-by-step explanation:
[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]
Find the exact value of sin space 2 theta when tan theta equals negative 12 over 5 where fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than 2 straight pi.
Answer:
-120/169
Step-by-step explanation:
Sin2theta = 2sintheta costheta
Given that tan theta = -12/5
Opposite = -12
Adjacent = 5
Using Pythagoras theorem
Hyp = √(-12)²+5²
Hyp = √144+25
Hyp = √169
Hyp = 13
Cos theta = adj/hyp
Cos theta = 5/13
Sin theta = opp/hyp
Sin theta = -12/13
Substitute
Sin2theta = 2(-12/13)(5/13)
Sin2theta = -120/169
Hence sin 2theta = -120/169
(5-8) (1,4) m = -3
find the slope
Answer:
slope is -3
Step-by-step explanation:
m is the slope, this may have been a trick question.
by the points given the slope is 1
Algebra 1 Please help! thank u sm
Answer:
1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.
2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.
3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.
Step-by-step explanation:
I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:
When you multiply, you add.
When you divide, you subtract.
When there are parentheses, you multiply.
In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.
Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!
The graph shown here is the graph of which of the following rational
functions?
FOO
5
A. F(x) = x(x+1)
B. F(x) = 4+1
X(X-2)
C. Fx) =
(x - 2)(x + 1)
Answer:
the graph of the rational function is B
Answer:
Step-by-step explanation:
B
Can anyone answer 20-24
Find the value of r so that the line through (8,r) and (4,5) has a slope of -4
Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m = [tex]\frac{r-5}{8-4}[/tex] = [tex]\frac{r-5}{4}[/tex] = - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11
(2, 0); y > x – 5
y < 2x + 1
Y <-X + 3
tell whether the ordered pair is a solution of the system of linear inequalities
Answer:
ang hirap pag aralan mo po muna
The roots of a quadratic equation are 5 and
2
3
. If one of the two factors of the equation is
x
−
5
, which expression could be a second factor?
2
x
−
3
2 x − − 3
2
x
+
3
2 x + 3
3
x
−
2
3 x − 2
3
x
+
2
3 x + 2
I think before we get to this answer we need to understand how roots of a quadratic equation works.
When a quadratic equation have 2 real roots such as a/b and c/d we can write the quadratic equation in factored form like this y or 0=(bx-a)(dx-c)
In this case we know the 2 roots are 5 and 2/3 and one of the factors is already x-5. so the other one according to the equation above that I wrote have to be 3x-2 and therefore the 3rd choice is correct.
Hope this helped you and if there is any questions about this please let me know in the comments.
2/3n+1/2=3/4 I need this fast pls
Answer:
n = ⅜
Step-by-step explanation:
Answer: n = 1/6
Step-by-step explanation:
2/3n + 1/2 = 3/4
-1/2 -1/2
2/3n = 1/4
multiply both sides by 2/3
n = 1/4 *2/3
n = 2/12
reduce
n = 1/6
suppose you plunk $5000 into a one-year certificate of deposit (CD) that pays simple interest at 3% per annum. The interest you earn after one year would be $150:
The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as S
Now , the value of S is
The principal amount = $ 5,000
The rate of interest R = 3 %
The time period T = 1 year
So , the Simple Interest is given by the equation
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest S = ( 5000 x 3 x 1 ) / 100
On simplifying the equation , we get
Simple Interest S = 150000 / 100
Simple Interest S = $ 150
Therefore , the value of S is $ 150
Hence , the simple interest for the deposit is $ 150
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Which is the correct value for tanN? *
A tanN=16/20
B tanN=16/12
C tanN=12/20
D tanN=12/16
Answer:
D
Step-by-step explanation:
3/4 = 12/16
Admission to the carnival cost four dollars then each game cost $.50 if Kalen can spend no more than $10 how many games can she play
Answer:
12
Step-by-step explanation:
10-4=6
6÷0.50 = 12
AB=
Round your answer to the nearest hundredth
Answer:
Step-by-step explanation:
2/sin25=AB/sin90
AB=4.73
What is the expanded form of this number?
570.086
A (5×100)+(7×10)+(8×1100)+(6×1100)
B (5×100)+(7×10)+(8×110)+(6×1100)
C (5×100)+(7×10)+(8×110)+(6×11,000)
D (5×100)+(7×10)+(8×1100)+(6×11,000)
Answer:
B
Step-by-step explanation:
I think it is No am not sure exactly
The expanded form of this number 570.086 is,
⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)
What is Place value?The value represented by a digit in a number on the basis of its position in the number is called a Place value.
Given that;
The number is,
⇒ 570.086
Now, We can expand the number as;
⇒ 570.086
⇒ 500 + 70 + 00 + 8/100 + 6/1000
⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)
Thus, The expanded form is,
⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)
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Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the - y = 4x + 5 y = 4x - 5 2y = 8x - 10 - 2y = 8 - 10
Step-by-step explanation:
step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.
step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.
step 3. y = 4x - 5. "no".
step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".
step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".
help please I cant figure this put
Answer:
C
Step-by-step explanation:
Because the circle is not shaded in, it doesn't count the number it's on:
So it would be a < or >.
Because this is on a number line and the shaded part goes to the left, it will be < because it points to the left.
The non-shaded circle is on 4, so your answer, x, will be:
x < 4
But the answer choices don't have this, meaning you have to simplify all of them.
The first one is:
x + 9 < 5
x < -4
x - 5 < 9
x < 14
x + 5 < 9
x < 4
x - 9 < 5
x < 14
So it would be C.
GIVING BRAINLIST!!! m∠GHI=98° and m∠JKL=82°.
Which statement is true about ∠GHIand∠JKL?
The angles are neither complementary nor supplementary.
The angles are complementary.
The angles are supplementary.
Answer:
The angles are supplementary
Step-by-step explanation:
Supplementary angles add up to 180 degrees
Hope this helps! :)
Answer:
The angles are supplementary.
Step-by-step explanation:
82 plus 98 is 180, so the angles are supplementary.
I hope this helps!
Thx for Brainliest!
Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780.
How much commission did Mrs. Montgomery earn last month?What was her total pay for the month?
Answer:
Commission: $3625.70
Total (sales + commission): $59405.70
Step-by-step explanation:
6.5% of 55780 = 0.065 × 55780 = 3625.7
55780 increase 6.5% =
55780 × (1 + 6.5%) = 55780 × (1 + 0.065) = 59405.7
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay. S=sandwiches
Answer:
8s + 12
s=12-8
s=4
or
8s +12
s=12+8
s=20
Step-by-step explanation:
im not sure kung minus o plus kasi kung kinus mababa lang binayad nya
obtenha os zeros da função
[tex]f(x) = 2x {}^{2} + 32[/tex]
I NEED HELP PLEASEEE!!!!
Answer:
1/4
Step-by-step explanation:
You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:
1/3 * 3/4
(cross multiply)
3/12
(simplify (divide top and bottom by three))
1/4
HELP.... BRAINLIEST FOR ANYONE WHO ANSWERS
Kelly walks 1/3 mile to school. Justin’s walks 75% longer. How far does Justin walk to school?
Answer:
7/12 miles i think
Step-by-step explanation:
3/4 x 1/3 = 1/4
1/3 + 1/4 = 7/12 miles
PLEASE HELP ME GUYS!! ITS URGENT
I need help with this plz
Evaluate each of the numerical expressions below.
1. 42 +9
2. (5 + 8)
PLEASE HELP ITS DO RN
Answer:
1. 51
2. 13
Step-by-step explanation:
1. 42 + 9
42 + 9 = 51
2. (5+8)
5 + 8 = 13