Given:
Principal value = $240,000
Rate of interest = 6% compounded continuously.
Time = 30 years
To find:
The amount after interest.
Solution:
The formula for amount after continuous compounding the interest is:
[tex]A=Pe^{rt}[/tex]
Where, P is principal, r is rate of interest and t is the number of years.
Putting [tex]P=240,000,r=0.06,t=30[/tex], we get
[tex]A=240,000e^{0.06(30)}[/tex]
[tex]A=240,000e^{1.8}[/tex]
[tex]A=1451,915.39146[/tex]
[tex]A\approx 1451,915.39[/tex]
Therefore, Martins will pay $1451,915.39 for the house, including interest.
Which answers are equivalent to 85 ? Choose two answer.
8+8+8+8+8
8*5
8 *9*8*8*8
5+5+5+5+5+5+5+5
32768
Answer: there all 40 but for 32768 because its 32768 and 8 *9*8*8*8 because its 36864
5. Sarah has 5 less dollars than Jessica. Sarah has 17 dollars.
A: Write an equation that describes this solution.
B. What is the solution to the equation?
Answer:
A. J = 17 + 5
B. J = 22
Jessica has $22.
Answer:
22
Step-by-step explanation:
17+5 because the 5 represents how many more do jessica got and 17 means how much sarah got it total
Phil made a number line showing the multiples of 3/6...
What is the product 2 x 3/6?
the answer would be 6/6 because they want you to multiply 2 x 3/6
Algebra 2!!
The equation of the piecewise function f(x) is below. What is the value of f(3)?
Answer:
5
Step-by-step explanation:
Ask your self which equation you should use. Since it says F(3) then we have to find an equation that would fit this correctly. For example if we look at -X^2, X<-2 we could see that 3 is clearly not less than -2, leading to the conclusion that this is not the right equation.. If you look at the last equation it says that x has to be greater/equal to 0 which is true. So then we are left with the equation...
F(3)=x+2
F(3)=3+2
F(3)=5
can someone answer these question
Answer:
y=5
Step-by-step explanation:
Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.
Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?
help meee pleaseeeee
Answer:
D) x>5
Step-by-step explanation:
Find Measures in Intersecting Circles
The diameters of D, B, and A are 4 inches,
9 inches, and 18 inches, respectively. Find AC.
A. 3 in.
B. 5 in.
C. 7 in.
D. 9 in.
what is the sum of the measures of the interior angles of a hexagon
Answer:
Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.
Answer for ( brain list, thanks, 5 star review)
Answer:
Your answer is 4.99
Step-by-step explanation:
259.48/52 will take some work if you use long division, but eventually you get your answer of 4.99
Find the volume of the cone
Answer:
formulae : 1/3 × area of base × height
= 1/3 × 6 × 8
= 1×2×8
=16
Read the following situation:
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
When setting up the system, what could the variables represent? Select all that apply.
Total number of chicken legs
Total number of pigs
How long until the number of pigs and chickens are equal.
How many animals in the barn
Total number of pig legs
Total number of chickens
Where the lines cross
Answer:
Hi, let's turn the word problem into a set of equations:
Let's say that x = # of chickens, and y = # of pigs
If there are 13 animals altogether, that means that
x + y = 13
If there are 40 legs together, we know that chickens have 2 legs, while pigs have 4, so the total number of legs would be:
2x + 4y = 40
We now have two different equations, with the same two variables, so we can rearrange and substitute one equation into the other to solve. We can rearrange the first equation as:
x + y = 13
x = 13 - y
Let's plug this expression for "x" into the second equation:
2(13-y) + 4y = 40
Now we have an equation with only one variable, so we can use algebra to solve for y:
26 - 2y + 4y = 40
2y = 14
y = 7, there must be 7 pigs.
From the first equation that we rearranged,
x = 13 - y
Now that we know the numerical value of "y", we can plug that in:
x = 13 - 7
x = 6, there must be 6 chickens
In AEFG, the measure of ZG=90', the measure of ZE=51°, and FG = 5.2 feet. Find
the length of EF to the nearest tenth of a foot.
Answer: 6.7 feet
Step-by-step explanation: sin 51= 5.2/x
xsin51= 5.2
xsin 51/sin 51 = 5.2/sin 51
x= 5.2/sin 51 =6.6911≈ 6.7 feet
A bag contains five red marbles 3 blue marbles and 7 yellow marbles into remodels which radio can be used to compare the yellow my bus to the blue marbles
Answer:
The ratio to compare would be C) 5 to 3 because there are 5 red amrbels and 3 blue ones
Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describes the faces of the pyramid?
A)one square and three triangles
B)one square and four triangles
C)three squares and one triangle
D)three squares and two triangles
Answer:
D. One square and four triangles
Step-by-step explanation:
Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces
Square pyramid has a square base.
each edge of the square base joins at the top of the vertex to make a pyramid
The sides of the pyramid is a triangle
the square has 4 sides, so four triangle on the sides of the pyramid
Hence one square and four triangles forms a square pyramid
Answer:
The answer is A). one square and three triangles
Step-by-step explanation:
If i'm incorrect pleas let me know.
Which are solutions of the equation (x+5)(x-3)=0
Answer:-5 and 3
Step-by-step explanation:-5 +5 is 0 and 0 times any number is 0 also 3-3 is 0 and 0 times any number is 0
Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please
help if ya can please!!
Answer:
D
Step-by-step explanation:
What is the volume of the rectangular prism?
Answer:
There isn't any picture, so I'm assuming that the volume is l*w*h. Just multiply the three dimensions.
Step-by-step explanation:
The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree
The answer is D. 115°
Answer:
The answer is also 115 on USA test prep.
6+ 3x = 15 with work!
Answer:
X=3
Step-by-step explanation:
Rearrange terms
6+3=15
3+6=15
Subtract from both sides of the equation
3+6=15
3+6−6=15−6
Simplify
Subtract the numbers
Subtract the numbers
3=9
x=3
X = 3.
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex]3x = 15 - 6[/tex]
2) Simplify 15 - 6 to 9.
[tex]3x = 9[/tex]
3) Divide both sides by 3.
[tex]x = \frac{9}{3} [/tex]
4) Simplify 9/3 to 3.
[tex]x = 3[/tex]
So, therefor, 5he answer is x=3.
What is the principal which would amount to $6900 in 3 years at 5% simple interest per annum?
Answer:
$6000
Step-by-step explanation:
accumulated amount = A = PI
A = $6900
Let P = x
6900 - I = x
I = (x)(0.05)(3yrs) = 0.15x
6900 - 0.15x = x
Add
6900 = 1.15x
Divide, solve for x
x = 6000
Find the area of triangle STU
Help me
Answer:
12cm cubed
Step-by-step explanation:
A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point so just plug those in the formula hopefully its correct
Step-by-step explanation:
The height is 5
and the base is 7
area of triangle = bxh
= 7 x 5
= 35 cm2
original price is $150 markdown is 30% what is the retail price
Answer:
$105
Step-by-step explanation:
0.30×150=45
150-45=105
Slope intercept form of 4x+4y=-32
Answer:
y = - x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
4x + 4y = - 32 ( subtract 4x from both sides )
4y = - 4x - 32 ( divide all terms by 4 )
y = - x - 8 ← in slope- intercept form
Answer:
x+y=-8
Step-by-step explanation:
-32=4x+4y
-4y=4x+32
y=(4x+32)/-4
y=-x-8
x+y=-8
Now comparing to slope intercept form
y=mx+c,we get
slope =1
y intercept =1
y=-8
OMG HELP ASAP!!!!!!!!! WILL MARK BRAINIEST + 15 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!
2 PROBLEMS ATTACHED!
what is a circumference
Answer:
25.13
Step-by-step explanation:
2 pie multiply radius
2 pie multiply 4
( I think so)
I hope this helps
A bike trail is drawn on a coordinate system. Each end of the trail is an x-intercept. The height of the trail is modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers. How many meters is the horizontal distance of the trail?
Answer:
4metres
Step-by-step explanation:
Given the height of the trail modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers
The horizontal distance occurs at the x intercept i.e at h(x) = 0
Substitute
0 = -0.1x^2 - 0.3x +2.8 ,
Multiply through by -10
0 = x^2 + 3x - 28
x^2 + 3x - 28 = 0
Factorize
x^2 + 7x - 4x - 28 = 0
x(x+7) - 4 (x+7) = 0
(x-4)(x+7) = 0
x-4 = 0 and x+7 = 0
x = 4 and -7
Since the danced cannot be negative, hence the horizontal distance of the trail is 4m
Help this is geometry! Help me please!
Simplify the like terms
3w - 2h + -5w+6h
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{3w - 2h + -5w + 6h}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\text{(3w + (-5w)) + (-2h + 6h)}[/tex]
[tex]\large\text{(-2h + 6h) = 4h}[/tex]
[tex]\large\text{(3w - 5w) = -2w}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf4h - 2w}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]