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2 years ago

7.8c + 6p - 3.4c - 10

Mathematics

1 answer:

bija089 [108]2 years ago

3 0

Hope this will help u...

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Which shows the correct solution of the equation 1/2 a + 2/3b = 50 when b=30

Lelu [443]

1/2a + 2/3(30)= 50
1/2a + 20 = 50
1/2a= 50-20
1/2a= 30
A= 30(2)
A= 60

The solution is 60.

Hope this helps!

4 0

2 years ago

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Jadyn is looking to purchase a home for $182,000 and will make a $40,000 down payment in order to borrow the remainder. Jadyn’s

AysviL [449]

Answer: Jadyn’s monthly mortgage payment is $812

Step-by-step explanation:

The cost of the house is $182,000.

The down payment made is $$40,000. The balance to be paid would be

182000 - 40000 = $142000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $142000

r = 0.00351/12 = 0.000293

n = 12 × 15 = 180

Therefore,

P = 142000/[{(1+0.000293)^180]-1}/{0.000293(1+0.000293)^180}]

142000/[{(1.000293)^180]-1}/{0.000293(1.000293)^180}]

P = 142000/{1.054 -1}/[0.000293(1.054)]

P = 142000/(0.054/0.0003088)

P = 142000/174.87

P = $812

6 0

2 years ago

In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

UNO [17]

Answer:

T = - 7.5 Cos π/12( t - 4 ) + 10.5

Step-by-step explanation:

Given that the

Maximum temp. = 18 degree Celsius

Minimum temp. = 3 degree Celsius

The half way between 10 am and 10 pm is 4 am

The sine and cosine functions can be used to model fluctuations in temperature data through out the year. An equation that can be used to model these data is of the form:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the temperature in °C and t is the hour (1–24)

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B = 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The formula of the trigonometric function that models the temperature T in Johannesburg t hours after midnight we be

T = - 7.5 Cos π/12( t - 4 ) + 10.5

3 0

2 years ago

(a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩r→1(t)=⟨x(t),y(t),z(t)⟩ for the shadow of the circular cylinder x2

motikmotik

Answer: (a) r1(t) = <2cost , 0 , 2sint>

(b) <2cost , (1 - 12sint - 10cost)/8 , 2sint>

Step-by-step explanation:

x2+z2=4

Now, in the xz plane, we know that y = 0...

So, x^2 + z^2 = 4 will simply be a circle centered at (0,0)..

This can be easily parameterized as

x = 2cos(t)

z = 2sin(t)

So, the required parameterization is :

r1(t) = <2cost , 0 , 2sint>

Cylinder : x^2 + z^2 = 4

Plane : 5x+8y+6z=1

Easily enough, the x^2 + z^2 = 4 can again be parameterized as

x = 2cost , z = 2sint

With this, we can find y using plane equation...

5x+8y+6z=1

5(2cost) + 8y + 6(2sint) = 1

8y = 1 - 12sint - 10cost

y = (1 - 12sint - 10cost)/8

So, the parameterization is :

<2cost , (1 - 12sint - 10cost)/8 , 2sint>

6 0

2 years ago

Raj drove his car 5 times farther than Gary drives his car. Together they drive 624 miles. How many miles does Raj drive?

12345 [234]

Raj drove 124.8 miles

5 0

2 years ago

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