Answer:
Interest = $3,888
Step-by-step explanation:
Formula:
I = prt or I = p · r · t
what it stands for:
I = amount of interest
P = principal amount ($1,200)
R = interest rate (in years)(3% into decimal which would be .03)
T = amount of time (in years)($108)
so:
I = prt
I = (1,200)(.03)(108)
I = $3,888
Interest = $3,888
2⋅10^ 4 −7 ^3 =? First person to solve gets 10 Points and will also be rewarding branliest answer (Btw already know this answer just giving points and being nice)
Answer:
19657
Step-by-step explanation:
[tex]2\cdot 10^4 - 7^3=20000-343=19657[/tex]
Hope this helps!
In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.
Answer:
AB = 4.9 ft
Step-by-step explanation:
Here, we are to calculate the length of AB.
Firstly, please check the diagram of the triangle we have in the attachment.
From there we can see that what we are asked to calculate is the length of the hypotenuse(AB) while what we have is the length of the opposite and the angle.
Mathematically, when we have the opposite and the hypotenuse, the trigonometric ratio that links both is the sine
sine = opposite/hypotenuse
Sin 47 = 3.5/hypotenuse
hypotenuse = 3.5/sin 47
hypotenuse = 4.7856
To the nearest tenth of a foot AB = 4.8 ft
5a squared - 6ab
i need help
Answer:
a (5a - 6b)
Step-by-step explanation:
Factor a
5a^2 - 6ab
a (5a - 6b)
Please Hurry! What is the solution to log2_(9x)-log2_3=3?
Answer:
[tex] log_{2}(9x) - log_{2}(3) = 3 \\ 3 = log_{2}(8) or log_{2}( {2}^{3} ) \\ log_{2}( \frac{9x}{3} ) = log_{2}(8) \\ \frac{9x}{3} = 8 \\ 9x = 8 \times 3 \\ 9x = 24 \\ x = \frac{24}{9} \\ x = \frac{8}{3} \\ x = 2 \times \frac{2}{3} [/tex]
Answer:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3 : x = \frac{8}{3}[/tex]
Decimal:
[tex]x = 2.66666...[/tex]
Step-by-step explanation:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3[/tex]
Add [tex]log _2\left(3)[/tex] to both sides:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)+\log _2\left(3\right)=3+\log _2\left(3\right)[/tex]
Simplify:
[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)[/tex]
Use the logarithmic definition: If [tex]\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex]
[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)\quad \Rightarrow \quad \:9x=2^{3+\log _2\left(3\right)}[/tex]
[tex]9x=2^{3+\log _2\left(3\right)}[/tex]
Expand [tex]2^{3+\log _2\left(3\right)} : 24[/tex]
[tex]9x=24[/tex]
Solve: [tex]9x=24 : x = \frac{8}{3}[/tex]
[tex]x = \frac{8}{3}[/tex]
Verify solutions: [tex]x = \frac{8}{3}[/tex] : True
The solution is:
[tex]x=\frac{8}{3}[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Mike withdrew $60 from his bank account three times what is the change in Mike's account balance after or three withdrawals
Answer:
-$180
After 3 withdrawals of $60:
-60 × 3 --- 60 less dollars every one of 3 withdrawals
-180 --- simplify
-$180
hope this helps and brainliest?
.......................
Answer:
c. (-1, -8)
Step-by-step explanation:
[tex]y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\[/tex]
Put x in any of the two equations to get y,
y = -8
Elise fills a waffle cone with ice cream exactly level to the top of
the cone. If the cone has a diameter of 2 3/8 inches and a height of
6 inches, how much ice cream does the waffle cone hold?
Answer:
V=π r^2 h/3
d=2 3/8 inches
convert to radius d=2r
d=2.375 (value of 2 3/8 inches in decimal)
2.375 divide by 2
r=1.1875 inches
V=π r^2 h/3
V=3.14 x 1.1875^2 x 6/3
Volume will be 8.85.
Step-by-step explanation:
Evaluate 16 to the power of 1/2 x 2 to the power of -3
Give your answer as a fraction in its simplest form.
If you get it right then i will give you 5 stars 1 thank you and mark you Brainallist
Answer:
1/2
Step-by-step explanation:
We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:
[tex]16 ^{1/2} * 2^{-3}[/tex]
Simplifying:
=> [tex]4 * \frac{1}{2^3}[/tex]
[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]
The answer is 1/2.
30 pts! Take a look at this square pyramid (image included). What is the surface area?
Answer:
160
Step-by-step explanation:
b^2 + 2 bl
8^2 + 2(8)(6)
64 + 16(6)
64 + 96
= 160
What is the answer for (3m-n)(3m+n)
Answer:
Step-by-step explanation:
9m^2 + 3mn - 3mn - n^2
9m^2 - n^2
What’s the common denominator of 23/25 and 9/10
Answer:
50
Step-by-step explanation:
You find the common denominator by the LCM , which in this case is 50.
incase you did not understand LCM , am here to help.
Solve the following proportion for .
17/7 = u/8
Round your answer to the nearest tenth.
Answer:
19.4 =u
Step-by-step explanation:
17/7 = u/8
We can use cross products to solve
17*8 = 7u
Divide each side by 7
17*8/7 = 7u/7
19.42857143 = u
To the nearest tenth
19.4 =u
Answer:
[tex]u = 19.42[/tex]
Step-by-step explanation:
[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
2:
The figure shows a square pyramid.
Calculate the volume and the surface area of the pyramid. If necessary, round to the nearest hundredth.
Volume
cubic meters
Surface Area
square meters
Answer:
I Have the same question
Step-by-step explanation:
Plz answer this for us.
Can you please help with these algebra problems, having a mind blank right now.
Answer:
1. x= -1/2
3. a= 11
5.y= -14
7.x= 8
9.n=4
Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
A The surface area of the pyramid is multiplied by 10.
B. The surface area of the pyramid is multiplied by 50.
OC. The surface area of the pyramid is multiplied by 100.
D. The surface area of the pyramid is multiplied by 1,000.
E. The effect on the surface area cannot be determined.
Answer:
The correct option is;
C. The surface area of the pyramid is multiplied by 100
Step-by-step explanation:
The equation for the surface area of a triangular prism is as follows;
A = b×h + 2×l×s + l×b
Where:
b = Base width
h = Height of triangular sides
s = Slant height of pyramid
l = Base Length
Hence where every dimension of the triangular pyramid is multiplied by 10, we have
The surface area of original prism = A₁ = b×h + 2×l×s + l×b
The surface area of the new prism = A₂ = 10·b×10·h + 2×10·l×10·s + 10·l×10·b
A₂ = 100·b×h + 100·2×l×s + 100·l×b = 100×(b×h + 2×l×s + l×b)
Therefore, the surface area of the new pyramid is multiplied by 100.
Answer:
A The surface area of the pyramid is multiplied by 10.
Step-by-step explanation:
A triangular prism is a 3 dimensional shape. A triangular prism has 5 faces: 3 triangles and 3 rectangles.
The total surface area of the triangular prism is calculated as:
(Area of the triangle ÷ 2) + ( Area of the first rectangle) + ( Area of the second rectangle) + ( Area of the second rectangle)
If , every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar, hence, the surface area of the pyramid is multiplied by 10.
HELP PLEASE thank you due todayyy
Answer:
18.85 feet
Step-by-step explanation:
C = 2 x 3.14 x 6/2
Answer:
C≈18.84
Step-by-step explanation:
Formula is 2πr
D = 6 ft
Radius is D/2 = 3
2π3 = 18.84955592153875943077586029967701730518301639625063492584
find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Label unit. part 3
Answer: 8.4 m²
Step-by-step explanation:
[tex]\text{The Area of a sector}=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\=\pi(4)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\=\dfrac{16\pi}{6}\\\\\\= \dfrac{8}{3}\pi\\\\\\= \large\boxed{8.4}[/tex]
Complete the ratio 8:40 = 1 : ?
Answer:
1:5
Step-by-step explanation:
What is the measure of the angle?
Answer:
115°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
? is an exterior angle of the triangle , thus
? = 75° + 40° = 115°
Answer:
[tex]x = 115 \: \: degrees[/tex]
First answer is correct.Step-by-step explanation:
let's get the missing side as x
[tex]75 + 40 = x \\ 115 = x[/tex]
Will mark as brainliest if correct
Answer :10X
Step-by-step explanation:
Answer:
x = 10
12 logx= 12
12 x logx = 12
12 x log10 = 12
12 x 1 = 12
A punch recipe calls for a lemonade to soda ratio of
3:5. If there are 120 gallons of punch, how many
gallons of lemonade were used?
Answer:
45 gallons
Step-by-step explanation:
You have to do 3x (lemonade)+5x (soda)=120
8x=120
x=15
now multiply the 15 with the 3 which will get you to 45
i really hope this helped!!
How many ways can you rearrange the letters in the word E-N-E-R-G-E-T-I-C?
Answer:60,480
Step-by-step explanation:
Given
Word ENERGETIC contains
[tex]3-E's[/tex]
[tex]1-N[/tex]
[tex]1-R[/tex]
[tex]1-G[/tex]
[tex]1-T[/tex]
[tex]1-I[/tex]
[tex]1-C[/tex]
i.e. there are 9 letters
So, no of ways of arranging 9 letters out of which 3 are same is given by
[tex]=\dfrac{9!}{3!}=60,480[/tex]
here 3! is for 3-E's
Help! I don’t understand this and I need help! “What is the length of the missing side?” Also D was cut off but it says 90
Answer:
The missing side = 30 cm
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
40^2 + b^2 = 50^2
1600 + b^2 = 2500
-1600 -1600
b^2=900
square root of both sides
b=30 cm
below are the distances from jamar house to each of the the four restaurant in his town in kilometer 0.4,0.2,0.4,0.6 find the absolute deviation (MAD) of the data set
Answer:
[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]
Step-by-step explanation:
We have the following dataset given:
0.4,0.2,0.4,0.6
In order to calculate the MAD we need to calculate the sample mean first with this formula:
[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
Replacing we got:
[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]
Answer:
0.1
Step-by-step explanation:
Khan Academy
Slove for x 2x+-3=-23
Answer:
x = -10
Step-by-step explanation:
First you have to isolate x
then you have to add 3 on the other side.
so yeahh!!
I need help with these questions
1) The length of a rectangular room is five less than double the width, w, of the room. Write an expression to represent the area of the room.
2) A parking area is 8 meters by 10 meters. How much will each side have to increase the area by 88 square meters?
Answer: first problem: 2w-5w
Second problem: one side increases by 4 and another side decreases by -22.
Step-by-step
For the first question: make a rectangle and label the length 2w-5 and the width 5. Next, write w(2w-5). Draw a arrow from w to 2 and another arrow from w to 5. Lastly write 2w^2-5w. Answer: 2w^2-5w
2nd question: make a rectangle. For the length write 10 and for the width write 8 and inside the rectangle write 80. Then draw a arrow and on top of the arrow write +88 and then drew another rectangle and for the length write x+10 and for the width write x+8 and inside the rectangle write 168. Then write this on the bottom of the rectangles;
(x+10) (x+8) =168
X^2+8x+10x+80=168
-168. -168
X^2+18x-88=0
Then make a T-chart and on one of the top column write (x-4) and on the other top column write (x+22)=0
And on the bottom of (x-4) write X=4 and in parenthesis write (increase)
And on the bottom of (x+22)=0 write X=-22 and in parenthesis write (decrease)
Then on the area so of the T-chart write 88 and underline it and write -4+22=18 D. S large +.
-Tell me if you get what I am saying. And good luck!
What is the measure of arc WYZ?
A)231
B)200
C)255
D)168
Answer:
The answer is A. 231
Step-by-step explanation:
I took the test on quizizz.
What is round your answer to the simplest radical from?
I need an example or something i don’t know what that is
Answer/ Step-by-step explanation:
Simplest Radical Form. ... Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Please Mark BRAINLIEST! Really need it!
Got this image from one of my assignments:
Find the lateral area of the right prism with height 0.3 dm, if the base of the prism is Isosceles trapezoid with bases of 3 cm and 5 cm, and legs of 4 cm;
Answer:
48 cm²
Step-by-step explanation:
The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.
The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).
1. Convert the height to centimetres
[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]
2. Calculate the perimeter
p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm
3. Calculate the lateral area
L = ph = 16 cm × 3 cm = 48 cm²
The lateral area of the prism is 48 cm².
At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.
Answer:
2x + 3y ≤ 25
Completed question;
At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.
Represent the case with an equation.
Step-by-step explanation:
Given;
Cost of yellow roses = $2
Cost of red roses = $3
Maximum cost he can spend = $25
Let "x" represent the number of yellow roses
let "y" represent the number of red roses.
The total cost of yellow roses = 2 × x = 2x
The total cost of red roses = 3×y = 3y
Total = 2x + 3y
The equation for this case can be written as;
2x + 3y ≤ 25