Answer:
A. $500
C. 7 percent
Step-by-step explanation:
Your problem follows the format of the Simple Interest Formula.
The formula is described as follows: A = P(1 + r*t)
Where P = initial value
r = interest rate as a decimal
t = amount of time.
In your equation of A = 500 ( 1 + 0.07 t )
we can see that 500 represents the P value which is the initial value of the investment.
We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.
for positive acute angles A and B, it is known that cos A=20/29 and sin B=60/61. Find the value of sin(A+B) in simplest form.
Answer:
[tex]sin(A+B) = \frac{1431}{1769}[/tex]
Step-by-step explanation:
sin(A+B) = sinA cosB + cosA sinB ------(1)
[tex]given : cos A = \frac{20}{29}, \ sinB = \frac{60}{61}[/tex]
First we will find sinA and cosB
[tex]We \ know \ sin^2 A + cos^2A = 1\\\\sin^2 A = 1 - cos^2A = 1 - (\frac{20}{29})^{2} = \frac{841-440}{841} = \frac{441}{841}\\\\sinA =\frac{21}{29}[/tex]
[tex]sin^2B +cos^2B = 1\\\\cos^2B = 1 - sin^2B = 1 - (\frac{60}{61})^2 = \frac{3721-3600}{3721} = \frac{121}{3721}\\\\cosB = \frac{11}{61}[/tex]
Substitute all values in (1)
[tex]sin(A+B) =sinAcosB + cosAsinB[/tex]
[tex]=(\frac{21}{29} \times \frac{11}{61} )+ (\frac{20}{29}\times \frac{60}{61})\\\\=\frac{231}{1769} + \frac{1200}{1769}\\\\= \frac{1431}{1769}[/tex]
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees? \
Answer:
42 + 42 + z = 180
Step-by-step explanation:
Note that:
Base angles in an isosceles triangle are equal in measure.
The sum of angles in a triangle is 180°.
Thus, the equation would be
42 + 42 + z = 180
The perimeter of this shape is 92cm.
Find the value of x.
(x + 7)
Step-by-step explanation:
x + 7 = 92
x = 92 - 7
x = 85
The value of x is 85
Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.
Answer:
4 tens, 3 twenties
Step-by-step explanation:
4 tens ($40) and 3 ($60) twenties work. I’m sorry I don’t have a formula for it though.
PLEASE DO WITH STEPS 3, 4 and 5 SOLVE IN RADICAL FORM AND DECIMAL FORM WITH STEPS PLZ WILL MARK AS BRAINLIEST
Answer:
Step-by-step explanation:
3) (21²-6²)½ = 20.1 cm
4) (10²+7²)½ =12.2 cm
5) (6.5²-2.7²)½ = 5.9 cm
A triangle PQR is right angled at R, with PQ=80cm and R=60cm. find QR?
pythagorus theorem
Answer:
Solution given:
A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm
and
base[b]PR=60cm.
perpendicular [P]= QR
by using Pythagoras law
h²=p²+b²
80²=QR²+60²
QR²=80²-60²
QR=[tex]\sqrt{2800}[/tex]
QR=20[tex]\sqrt{7}[/tex]=52.9=53cm
QR=53cm.
Rosa is a secretary. She works Monday to Friday every week. If she worked a total of 44.5
hours this week, and her regular pay is $11.46 per hour, what is Rosa’s regular pay?
Answer:
$509.97 is Rosa's regular pay
Solve the expression for a=12 , b=6 and c=3
Answer:
48
Step-by-step explanation:
[tex]a = 12, \ b = 6, \ c = 3\\\\b^2 - c^2 + (a+ b+c) = 6^2 - 3^2 + (12 +6+3) = 36-9+21 = 48[/tex]
Answer:
2-12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
Simplify: 1
Eliminate redundant parentheses
2−12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
Solution: 2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
Please help fast answer only if you know or gonna report you
Step-by-step explanation:
a) unsuitable - the precision should have been about 0.030 kg (about an ounce)
b) unsuitable - the stopwatch should have a precision of 0.001 s
c) just about right, although I wouldn't mind it if its precision is of 0.05 mm
d) unsuitable - color matching requires much finer control so I would go with 1/8 cup precision.
Hello may any of you help me with these two equations I’m having a little hard time thank you =10 points
Answer:
a. 10.08
b. 0.0576
Find the range of the given data below:
7, 10, 12, 11, 12, 10, 11, 13, 17, 13
Ans: 10
Answer: 10
Step-by-step explanation:
Arranged data
7,10,10,11,11,12,12,13,13,17
Range= Highest value - Lowest Vlue
Highest value=17
Lowest value =7
Range=17-7
Range=10
Answer:
[tex]Answer: 10
Step-by-step explanation:
Arranged data
7,10,10,11,11,12,12,13,13,17
Range= Highest value - Lowest Vlue
Highest value=17
Lowest value =7
Range=17-7
Range=10 [/tex]
hope it is helpful to you
This is my first time using Brainly I don't know if I'm doing this correctly.
Answer:
x = -3
Step-by-step explanation:
Solve for the value of e.
pls help
Answer:
44
Step-by-step explanation:
the steps are in the pic above
Alden has two toys. One toy has a mass of 188 grams, and the other has a mass of 127 grams
whats the rest of the question?
easy algebra question below first correct answer gets brainliest
Answer:
using pythagoras theorem
h^2=p^2+b^2
h^2=12^2+9^2
h^2=144+81
h^2=225
h=[tex]\sqrt{225}[/tex]
h=15
Step-by-step explanation:
please show your work
Answer:
X is equal to 4
A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes.
Given :
A motorboat travels 9 miles downstream (with the current) in 30 minutes.
The return trip upstream (against the current) takes 90 minutes.
To Find :
The speed of stream and motorboat.
Solution :
Let, speed of stream is u and speed of motorboat is v.
Now, we know distance is same in both case.
Distance( downstream ) = speed × time
[tex]9 = ( v +u ) \times 0.5\\\\v + u = 18[/tex]....1)
Distance( upstream ) = speed × time
[tex]9 = ( v- u ) \times 1.5\\\\v-u = 6[/tex]....2)
Solving equation 1 and 2 , we get :
v = 12 miles/hour and u = 6 miles/hour
Hence, this is the required solution.
Answer:
The speed of the stream is 6 mph, and the speed of the boat is 12 mph.
Step-by-step explanation:
Downstream:
9 miles in 30 minutes (0.5 hour).
9 mi / 0.5 h = 18 mph
Upstream:
9 miles in 90 minutes (1.5 h).
9 mi / 1.5 h = 6 mph
Let s = speed of stream.
The speed of the stream adds to the speed of the boat downstream and is subtracted fromt he speed of the boat upstream.
Let speed of boat be b.
b + s = 18
b - s = 6
Add the equations.
2b = 24
b = 12
b + s = 18
12 + s = 18
s = 6
The speed of the stream is 6 mph, and the speed of the boat is 12 mph.
Daniel has two cats. The larger cat weighs 16.5 lbs. If the smaller cat weighs 60% as much as the larger cat, find the weight of the smaller cat.
Answer:
I'm not sure but if you want the answer download Socratic it will definitely help you find the answer.
A population of 350 animals has a growth rate of 5% each year. Write an exponential function to model this situation.
Given:
The population of animals = 350
Growth rate = 5% each year.
To find:
The exponential function to model this situation.
Solution:
The general exponential growth model is:
[tex]f(t)=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate in decimal and t is the time period.
Substituting [tex]a=350, r=0.05[/tex] in the above formula, we get
[tex]f(t)=350(1+0.05)^t[/tex]
[tex]f(t)=350(1.05)^t[/tex]
Therefore, the required exponential function is [tex]f(t)=350(1.05)^t[/tex], where f(t) is the number of animals after t years.
Find the area of the shaded segment VB and length of VB
Answer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. unitsAnswer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. units
The first number in a pattern is 8. Each following number is found by subtracting 9 from the previous
number
What is the fifth number in the pattern?
Answer:
8,-1,-9,-18,-27,-36
and so on i would think it would be -27
Step-by-step explanation:
Answer:
-28
Step-by-step explanation:
other answer off by one
Someone help me answer this pls
Answer:
y>-2x-3
Step-by-step explanation:
I think, not sure.
Does 10+10+10+0=20???
Because it always shows different on calculators
Answer:
No
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+10=20
20+10=30
30+0=30
Someone please help me out!!
Answer:
4/ 5
cos A = AB/ AC
= 24/ 30
= 4/ 5
that is option A
Math
Compound probability using a organized list
Answer:
[tex]\huge\boxed{\sf Probability = \frac{3}{8} }[/tex]
Step-by-step explanation:
[tex]\displaystyle Probability = \frac{Number \ of \ codes \ with \ 2 \ 0s}{Total \ number \ of \ codes}[/tex]
According to the fundamental principle of counting, to find the total number of codes, we need to multiply the number of options we have for each digits by the number of digits. Hence, we have two options for each digit ( 1 and 0 ) and we have 4 digits. So,
= 2 * 2 * 2 * 2
= 16 possible codes (Total)
Now, Codes with two zeroes:
= 0101,0011,1100,1010,1001,0110 (Maximum number of codes for 2 0s)
Hence, The probability:
Probability = 6 / 16
Probability = 3 / 8
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18071/2x9
step by step please
[tex]4.5[/tex] ✅
Step-by-step explanation:
[tex] \frac{1}{2} \times 9 \\ = \frac{1 \times 9}{2} \\ = \frac{9}{2} \\ = 4.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
PLEASE HELP ME AT LEAST ONE OF THESE IF YOU KNOW
Step-by-step explanation:
answer of number 5
length=7cm
breadth=9 cm
height=6 cm
volume=?
we know
v =l×b×h
=7×9×6
=378
so, the volume is 378 cm
Answer:
cone, radius is 3^2 x pi x 7/3 = 65.98
Step-by-step explanation:
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
Step-by-step explanation:
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
simplify
[tex] \sqrt{12} [/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Simplifying the square root of 12}}\\\\\rightarrow\sqrt{12}\\\\\text{4 can be factored out of 12.}\\\\\rightarrow\sqrt{4(3)}\\\\\text{Two '2's can be factored out of 4.}\\\\\rightarrow\sqrt{2*2*3}\\\\\rightarrow\sqrt{2^2(3)}\\\\\text{Pulling out the terms from under the radical...}\\\\\rightarrow\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
help help i need help with my math
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
48-[(2^2+3)x5]
48-[(4+3)x5]
48-[(7)x5]
48-[35]
13