answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Viktor [21]
2 years ago
7

Tommy Webster obtained a 30-year, $110,000.00 mortgage loan from People's Savings. The interest rate is 7.5 percent. For the fir

st payment, what is the interest?
Mathematics
1 answer:
Pepsi [2]2 years ago
4 0
The interest on the first monthly payment is ...
  I = Prt
  I = 110,000*7.5%*(1/12)= 687.50

For the first payment, the interest is
  $687.50

_____
The time period for the interest rate calculation is 1/12 year.
You might be interested in
A tanker that ran aground is leaking oil that forms a circular slick about 0.2 foot thick. To estimate the rate​ dV/dt (in cubic
blondinia [14]

Answer:

dV/dt = 155.74 ft^3/minute

Step-by-step explanation:

Volume V = Area × thickness

Area A= πr ^2

Thickness = 0.2 ft

Volume V = 0.2A = 0.2πr^2

V = 0.2πr^2

Differentiating both sides;

dV/dt = 0.2π × 2r dr/dt = 0.4πr.dr/dt

Given;

r = 400 ft

dr/dt = 0.31 ft/minute

π = 3.14

Substituting the values

dV/dt = 0.4πr.dr/dt = 0.4 × 3.14 × 400 × 0.31

dV/dt = 155.74 ft^3/minute

8 0
2 years ago
Read 2 more answers
Coordinates, gradient and tangent work (see image).
Ivenika [448]

Answer:

a) P(x,2x^2-5),\ Q(x+h,2(x+h)^2-5)

b) 4x+2h

c) 4x

Step-by-step explanation:

Given the curve

y=2x^2-5

a) If the x-coordinate of P is x, then the y-coordinate is 2x^2-5, so point P has coordinates (x,2x^2-5)

If the x-coordinate of Q is x+h, then the y-coordinate is 2(x+h)^2-5 so point Q has coordinates (x+h,2(x+h)^2-5)

b) The gradient of the secant RQ is

\dfrac{y_Q-y_P}{x_Q-x_P}\\ \\=\dfrac{(2(x+h)^2-5)-(2x^2-5)}{(x+h)-x}\\ \\=\dfrac{2(x+h)^2-5-x^2+5}{x+h-x}\\ \\=\dfrac{2(x+h)^2-2x^2}{h}\\ \\=\dfrac{2x^2+4xh+2h^2-2x^2}{h}\\ \\=\dfrac{4xh+2h^2}{h}\\ \\=4x+2h

c) If h\rightarrow 0, then the gradient 4x+2h\rightarrow 4x

5 0
2 years ago
which of the diagram below represents the contrapositive of the statement if it is an equilateral triangle,then it is an isoscel
GalinKa [24]

Answer:Contrapositive of a Statement , if A then B, states that, if not B ,then not A.

In the statement given:

A= A triangle is Equilateral

B=then the triangle is Isosceles.

So,→→Contrapositive of the statement, If A, then B will be ,not B,then Not A

Not B= The triangle is not Isosceles

Then ,Not A= the triangle is not equilateral.

→→Figure A, matches with "Contrapositive of the statement “if it is an equilateral triangle, then it is an isosceles triangle”

=

4 0
2 years ago
A motorboat takes 3 hours to travel 144 km going upstream. The trip takes 2 hours going downstream. What is the rate of the boat
allsm [11]
Let x be rate of boat in still water
let y be rate of current

we use this equation to relate quantities:
distance = speed · time

we have two unknowns so we might need to create a system of equationss

upstream:

speed (in km/h) = x - y
(we get speed of boat then subtract the current's speed from it since current is going against boat direction)

time = 3 hours

distance = 144 km

downstream:

speed (in hm/h) = x + y
(we get speed of boat then add the current's spd from it since current is going against boat direction)

time = 2 hours

distance = 144 km (same distance upstream and downstream)

using distance = speed times time

for upstream
144 =  3(x-y)
144 = 3x - 3y

for downstream
144 = 2(x+y)
72 = x + y

system of eqns:
144 = 3x - 3y
72 = x + y

solve by substitution: move 72 = x + y into x = 72 - y and subst into other equation for x

144 = 3(72 - y) - 3y
144 = 216 - 3y - 3y
144 = 216 - 6y
144 - 216 = -6y
-72 = -6y
y = 12 km/h

Use x = 72 - y to find x with y = 12: x = 72 - 12 = 60 km/h

rate of boat in still water is 60 km/h
rate of the current is 12 km/h
6 0
2 years ago
A high school drama teacher organizes a musical production. He wants to record the number of students involved in each part of t
crimeas [40]

I’m can’t freakin stay up I need to sleep and I need to get 4 papers done for my portfolio I can’t help but I wish you luck

5 0
2 years ago
Other questions:
  • PLEASE ANSWER! I WILL BRIANLIEST.
    9·1 answer
  • John always wears a shirt, pants, socks, and shoes. He owns 121212 pairs of socks, 333 pairs of shoes, 555 pairs of pants, and 5
    8·1 answer
  • Mr. Santos is carpeting his living room. The room measures 21 feet by 15 feet. The carpeting costs $9 per square foot. How much
    11·1 answer
  • If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a
    13·1 answer
  • one of the world tallest roller coaster is in Blackpool, England. The maximum drop Is 65m over a horizontal distance of 65m in t
    9·1 answer
  • A bag has six balls labeled
    11·2 answers
  • Classify the expression: 5x + 3x2 − 7x3 + 2.
    9·2 answers
  • The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle
    7·1 answer
  • Which expression is equal to StartAbsoluteValue negative 12 EndAbsoluteValue minus StartAbsoluteValue Negative 3 EndAbsoluteValu
    10·2 answers
  • Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!