Answer:
the answer should be $994.5
The balance after 5 year comes out to be $3552.80
What is compound interest ?Compound interest is the interest on savings that is computed using both the original principal and the interest accrued over time. It will accelerate the growth of a sum more quickly than simple interest, which is only applied to the principal sum.
Here,
The declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly.
Thus rate= 3.4% and principle amount = 850
Therefore it is compounded quartely,
The balance after year=
[tex]C=Pe^{rt}[/tex]
[tex]C= 850 e^{3.5(5)}\\\\C= 850 e^{17.5}[/tex]
C = 3552.80
Therefore, the balance after a year comes out to be $3552.80
Therefore the balance comes out to be after compounded annually is
$3552.50
To know more about compound interest , visit
brainly.com/question/14295570
#SPJ2
How do you solve? Show your work.
-14 - 6x = x + 7
Answer:
−
6
−
1
4
=
+
7
-6x-14=x+7
−6x−14=x+7
−
6
−
1
4
+
1
4
=
+
7
+
1
4
Add the numbers
Add the numbers
again
−
6
=
+
2
1
Subtract
x
x
from both sides of the equation
−
6
=
+
2
1
-6x=x+21
−6x=x+21
−
6
−
=
+
2
1
−
Simplify
Combine like terms
Combine like terms
again
−
7
=
2
1 the answer is=3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-14-6x=x+7
-14-6x+14=x+7+14
-6x=x+21
-6x-x=x+21-x
-7x=21
\frac{-7x}{-7}=\frac{21}{-7}
x=-3
Find the missing length. Leave your answer as radical in simplest form
Answer:
v = [tex]\frac{7\sqrt{2} }{2}[/tex]
u = [tex]7[/tex]
Step-by-step explanation:
First, the angle on the far left is also 45 degrees.
So, v is equal to [tex]\frac{7\sqrt{2} }{2}[/tex] because this is a 45-45-90 triangle, so the sides opposite the 45-degree angles are congruent.
However, u is the side opposite the 90-degree angle, so it is equal to the other side value, multiplied by [tex]\sqrt{2}[/tex].
So, [tex]\frac{7\sqrt{2}}{2}*\sqrt{2}[/tex] is equal to:
[tex]7[/tex]
Hope this helps!
select the correct equation rule
Replace x in the equation and see which one equals the y values:
The answer is f(x) = 2x - 1
BRAIILEST IF CORRECT
The surface area of the prism is _____ square units. All measurements in the image below are in units. (Input whole number only.)
A triangular prism is shown with 2 right triangular sides having legs 4 and 3 and hypotenuse 5. The length of the prism is 4.5
Answer:
54 and here is why..
Step-by-step explanation:
In order to calculate the surface are of the prims, you have to calculate the area of each face of the prism, also you have to remember the different formulas to calculate the areas:
Rectangle will be (Length x Width) and
Triangle will be (Base x Height / 2)
SOOO, You just have to insert the values into formulas:
Rectangle1 = 4 x 3.5
Rectangle1 = 14
Rectangle 2 = 5 x 3.5
Rectangle 2 = 17.5
Rectangle 3 = 3 x 3.5
Rectangle 3 = 10.5
Triangle 1 = 4 x 3 / 2
Triangle 1 = 6
Triangle 2 = 4 x 3 / 2
Triangle 2 = 6
SOoo again, if you add all the faces, you get the surface area of the prims:
14+17.5+10.5+6+6=54
I hope this help you my friend, have a good day
Answer:
Step-by-step explanation:
Give him brainliest
How to understand the Triangle-sum Theorem?
Answer:
Its Simple All the angles in a triangle adds up to 180°
Step-by-step explanation:
∠A + ∠ B + ∠C = 180° NO matter what. You can also use this in inverse If you have two out of three angles then you can add the two angles you have and subtract the from 180 to get the measurement of the 3rd angle.
Hope this helps
50 POINTS FOR CORRECT AWNSER
Answer:
[tex]\sf y \leq \dfrac34x[/tex]
Step-by-step explanation:
Choose 2 points on the line: (0, 0) and (4, 3)
Let [tex]\sf (x_1,y_1)=(0,0)[/tex]Let [tex]\sf (x_2,y_2)=(4,3)[/tex][tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-0}{4-0}=\dfrac34[/tex]
point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=\dfrac34(x-0)[/tex]
[tex]\implies \sf y=\dfrac34x[/tex]
Solid line : ≤ or ≥
Dashed line: < or >
Therefore as the line is solid, and the shading is below the line,
[tex]\implies \sf y \leq \dfrac34x[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{6+3}{8+4}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y+3=3/4(x+4)[/tex]
[tex]\\ \tt\Rrightarrow y+3=3/4x+3[/tex]
[tex]\\ \tt\Rrightarrow y=3/4x[/tex]
equation of shaded region
[tex]\\ \tt\Rrightarrow y\leqslant 3/4x[/tex]
It is estimated that there are 1.2 x 10^57 atoms in the Sun. The number of atoms in the rest of the Solar System is
approximately 1.2 x 10^56 About how many more atoms exist in the Sun than in the rest of the Solar system. ( complete answer in scientific notation
Answer:
56*56
Step-by-step explanation:
The 56*56 is divided by the same option in the 57
The semester fee for an accounting course has been
increased from $3600 to $ 4500. Find the percentage
increase in the fee per semester.
Answer:
I believe it is a 25% increase
Answer:
11.1111% increase fee for an accounting course,
5.55555% per each semester.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
The recursive rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(1)=33, f(n)=f(n-1)+1;38
The term 38 is the BLANK th term
Answer:
6th term
Step-by-step explanation
find the missing angle measures
Answer:
Step-by-step explanation:
180° ( n - 2 )
n = 6 sides
4( x )° + 2( x - 6 )° = 180° ( 6 - 2 )
4x + 2x - 12 = 720
6x = 732
x = 122
x° = 122 °
( x - 6 )° = 116 °
122° + 116° + 122° + 122° + 116° + 122° = 720°
If 3x² is the length of a rectangle and the area is 12x^4 + 27x², what must be the width?
Answer:
4x^(2)+9
Step-by-step explanation:
Solve the inequality.
-4 (7 + 6x)< -2(x+3)
write in inequality integer form
Answer:
-1 >x
Step-by-step explanation:
-4(7+6x)<-2(x-6)
-28-24x<2(x-6)
-28-24x<-2x-6
+6. +6
-22-24x<-2x
+24x +24x
-22 < 22x.
-22÷-22=1 that canceled out
+22÷-22= -1
-1>x. because we divided by a negative the inequality switched.
Hope this helped
Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part What is the solution to the equations of lines A and B?
Explain your answer. (5 points)
Answer:
1 solution
(3, 4)
Step-by-step explanation:
The pair of equations for lines A and B have 1 solution because there is one point of intersection.
The point of intersection is (3, 4), therefore this is the solution.
Answer:
3,4
Step-by-step explanation:
a student earns R220 a week.What does he earn in a year of it takes 2 weeks unpaid.
R11 000 in a year.
Step-by-step explanation:
Student earn R220 a week.A year have 52 weeksIt takes 2 weeks unpaidTherefore:
52 weeks - 2 weeks unpaid = 50 weeks
50 weeks × R220 = R11 000 in a year
A lime has a mass of 90 grams, and is in the shape of a sphere with radius 1 point
2.5 centimeters. What is the density of the lime?
The density of the lime is 1.38 g/cm^3.
What is the density of a lime?
Remember that the density is given by the quotient between mass and volume.
Here, the lime is a sphere with a radius of 2.5 cm, remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
So our lime has a volume:
V = (4/3)*3.14*(2.5 cm)^3 = 65.42 cm^3
And the mass is M = 90 grams, then the density is:
D = M/V = (90 g)/(65.42 cm^3) = 1.38 g/cm^3
If you want to learn more about density, you can read:
https://brainly.com/question/1354972
Pls answer the question attached.
I WILL MARK U BRAINLIST
To simplify, we multiply each single one in the first bracket with both in the second bracket :
[tex](3x+1)(3x-5) = 9x^{2} -15x + 3x - 5[/tex]
Amrit's income is 32% more than Bethan's income. Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Can you show your working?
b = Bethan's Income
hmmm how much is 32% of "b" anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}[/tex]
What is the equation of the line that contains the points (-5, 0) and (0, 6)?
Answer:
y=6/5x+6
Step-by-step explanation:
SOMEONE PLS HELPPPPP
Answer:
answer will be 3rd graph----------------------------------------------
Last year, there were k ples baked for the bake sale. This year, there were 214 ples baked. Using k, write an expression for the total number of ples baked in the
two years.
Answer:
total number of ples baked in the two years= 214+k
you are supposed to be able to do it your own, i think the maths teacher think in this way.
Bryce needs to save at least $1400 for new baseball gear. He has $600 and will continue saving $25 a week. Select all the inequalities below that represent this situation where, n, is the number of weeks.
25n + 600 < 1400
25n > 800
25n - 600 > 1400
25n < 800
25n - 600 < 1400
25n + 600 > 1400
Answer:
25n + 600 > 1400
Step-by-step explanation:
Solve by row equivalent method. 6x-4y=0.
x+y-5=0
Answer:
x=2 , y=3
Step-by-step explanation:
simplify: 1 2/3 - 1/4
Answer:
[tex]1\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]1\frac{2}{3}-\frac{1}{4}[/tex]
[tex]\mathrm{Subtract\;Whole\;Number}[/tex]
[tex]1-0=1[/tex]
[tex]\mathrm{Combine\;fraction}[/tex]
[tex]\frac{2}{3}-\frac{1}{4}:\frac{5}{12}[/tex]
[tex]=1+\frac{5}{12}[/tex]
[tex]=1\frac{5}{12}[/tex]
Hence, the answer is 1 5/12
~Lenvy~
1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate
⇒ [tex]1\frac{2}{3} = \frac{5}{3}[/tex]
2. Now lets the change the base of both fractions into a common denominator and solve
⇒ [tex]\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}[/tex]
Answer: [tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex]
Hope that helps!
A rectangle has a width of 6 units and a length of 2x+8 units. If the area is 108 units squared, what is the value of X?
Answer:
x = 5 units
Step-by-step explanation:
Hello!
We know that the area of a rectangle is the length multiplied by the width.
We can simply create an expression to solve for x.
Solve:
Area = length x width108 = 6(2x + 8)108 = 12x + 4860 = 12xx = 5The value of x is 5 units.
5 yr. 8 mo.
8 yr. 6 mo.
+ 4 yr. 5 mo.
We’re the answer
(show ur work btw) Multiply 400 and 45.2 together.
Round to the nearest hundredth when necessary.
Answer:
Answer
18,080
Explantion
400x10=4000x4=16000
400x5=2000
2000+16000=18000
400×.2=80
cause 20% of 400 is 80
so total is 18,080
Look at all three circles below. All circles have the same pattern. What number should replace the question mark?
John’s current salary is $40,000 per year. His annual pay raise is always a percent of his salary. For the foreseeable future, his pay increases will be 4%. Write an explicit formula for the sequence of amounts. Let s represent John's salary and y represent the number of years.
Answer:johns my fraind
Step-by-step explanation:
What is the image of the point (-1,7)(−1,7) after a rotation of 90^{\circ}90∘counterclockwise about the origin?
Answer:
(- 7, - 1 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , thus
(- 1, 7 ) → (- 7, - 1 )
Adalia ate lunch and wanted to leave her waitress a 15% tip. Hermeal cost $8.95. How much money should adalia leave for the dip?
Answer:
$1.34
Step-by-step explanation:
15% × 8.95 =
(15 ÷ 100) × 8.95 =
(15 × 8.95) ÷ 100 =
134.25 ÷ 100 =
1.3425 ≈
1.34;
Answer:
1.34$
Step-by-step explanation:
Multiply 8.95 by 0.15 to get 15% tip.