Mathematics

For the vector in the following figure, write the components along the 𝑥 and 𝑦 axes

For the vector in the following figure, write the components along the 𝑥 and 𝑦 axes

For the vector in the following figure, write the components along the 𝑥 and 𝑦 axes. Note:
∥𝒘∥ = 2.
Hint: Check the sign of the components and use sin(45◦) = cos(45◦) =√2/2

Joseph N   98   2 Replies

bio_man

Determine the vector equation of the line that passes through (−1, 1) and (1, 2).

Determine the vector equation of the line that passes through (−1, 1) and (1, 2).

Determine the vector equation of the line that passes through (−1, 1) and (1, 2).
Hint: Find 𝒓 (𝑡) =𝑂𝑃(𝑡), the position vector of a variable point on the line, where 𝑡 is a
parameter.

Joseph N   82   1 Reply

bio_man

What amount will Jasmine need in her Retirement Plan on the day she retires if she wants to receive ...

What amount will Jasmine need in her Retirement Plan on the day she retires if she wants to receive ...

[html]What amount will Jasmine need in her Retirement Plan on the day she retires if she wants to receive $3,500 at the beginning of every month for 24 years and the plan earns 6% compounded monthly?

▸ $237,596

▸ $356,897

▸ $485,219

▸ $536,222

▸

vanessavz   323   4 Replies

bio_man

Red Deer City Council has committed to investing $200,000 into a New Minor Hockey Arena Fund at the ...

Red Deer City Council has committed to investing $200,000 into a New Minor Hockey Arena Fund at the ...

[html]Red Deer City Council has committed to investing $200,000 into a New Minor Hockey Arena Fund at the beginning of every quarter for the next seven years. The Fund is expected to earn 8% compounded quarterly. What will be the value of the fund at

extrl83   227   2 Replies

Anonymous

The monthly lease payments on a new car are $517.44 for seven years. The first payment is payable ...

The monthly lease payments on a new car are $517.44 for seven years. The first payment is payable ...

[html]The monthly lease payments on a new car are $517.44 for seven years. The first payment is payable today. Using an interest rate of 10.8% compounded monthly, what is the value of the lease?

▸ $30,680

▸ $29,773

▸ $17,894

▸ $33,989

▸ $65,120[

reync89   164   2 Replies

Anonymous

Simple math (the wording is confusing me)

Simple math (the wording is confusing me)

3. A team of clothing workers had an output of 1,000 uniforms per week. This
output was increased by 20%, which demanded an increase of 50 uniforms per worker.
How many workers are there on the team?
(A) 4 (B) 15 (C) 20 (D) 24

S.v   144   3 Replies

S.v

How long will it take $1050.00 to accumulate to $1144.00 at 6% p.a. compounded quarterly?

How long will it take $1050.00 to accumulate to $1144.00 at 6% p.a. compounded quarterly?

How long will it take $1050.00 to accumulate to $1144.00 at 6% p.a. compounded quarterly?

State your answer in years and months (from 0 to 11 months).

The investment will take ___ year(s) and ___ month(s) to mature.

Anonymous   171   2 Replies

SUMANDEEP KAUR2

Check that the following function is invertible

Check that the following function is invertible

Check that the following function is invertible over the specified domain using a plot and the
horizontal line test, then find the formula for the inverse.
𝑓 (𝑥) = exp(𝑥^2), D: 𝑥 ⩾ 0

James F   91   1 Reply

bio_man

Use log rules to solve the following equations for 𝑦.

Use log rules to solve the following equations for 𝑦.

Use log rules to solve the following equations for 𝑦.
1/2 ln 𝑥 − 1/2 ln 𝑦 = 𝑥

James F   82   1 Reply

bio_man

Brewing Beer

Brewing Beer

Brewing beer involves a fermentation process to convert sugars into alcohol. This conversion
is operated by a colony of single-cell organisms, yeast. The equation
𝑁 (𝑡) = 200×10^9/1 + 9 e−2𝑡
represents the numbe

Joseph N   120   1 Reply

bio_man

Need Help With this question

Need Help With this question

Calculate the exact function value of sin(−5𝜋/3). Note that the angle is given in radians.

Joseph N   80   1 Reply

bio_man

A company has the following net cash inflows. Today -$7000, Year 1 -$15 000, Year 2 -$9000, Year 3 + ...

A company has the following net cash inflows. Today -$7000, Year 1 -$15 000, Year 2 -$9000, Year 3 + ...

A company has the following net cash inflows. Today -$7000, Year 1 -$15 000, Year 2 -$9000, Year 3 + $12 000, Year 4 -$3000, Year 5 + $19 000. Compute the net present value if the required rate of return is 7.22% compounded annually.
A) -$4709.

gewusel   274   3 Replies

bio_man

AZCO purchased an item for $695 less 30% and 20%, and marked it up 125% of cost. During a special ...

AZCO purchased an item for $695 less 30% and 20%, and marked it up 125% of cost. During a special ...

[html]AZCO purchased an item for $695 less 30% and 20%, and marked it up 125% of cost. During a special sale, the company sold the item at 40% off. Overhead is 20% of cost. What was the sale price?

▸ $875.70

▸ $868.75

▸ $953.54

▸ $525.42

▸ $521.

gyoku2302   148   3 Replies

cheesoslimo

A $95 600.00, non-interest-bearing note due August 1, 2017, discounted on March 1, 2015, at 1.49% ...

A $95 600.00, non-interest-bearing note due August 1, 2017, discounted on March 1, 2015, at 1.49% ...

A $95 600.00, non-interest-bearing note due August 1, 2017, discounted on March 1, 2015, at 1.49% compounded monthly. Find the proceeds.
A) $92 220.90
B) $92 335.41
C) $92 106.54
D) $99 225.96
E) $92 243.34

Hillier   185   3 Replies

josan

A $15,000 loan at 5.5% compounded semiannually is advanced today. Two payments of $4000 are to be ...

A $15,000 loan at 5.5% compounded semiannually is advanced today. Two payments of $4000 are to be ...

A $15,000 loan at 5.5% compounded semiannually is advanced today. Two payments of $4000 are to be made 1 year and 3 years from now. The balance is to be paid in 5 years. What will the third payment be?

adriii0825   161   3 Replies

jarste123

Duane borrowed $3000 from his grandmother five years ago. The interest on the loan was to be 5% ...

Duane borrowed $3000 from his grandmother five years ago. The interest on the loan was to be 5% ...

[html]Duane borrowed $3000 from his grandmother five years ago. The interest on the loan was to be 5% compounded semiannually for the first three years, and 6% compounded monthly thereafter. If he made a $1000 payment 2½ years ago, what is the amount

islandgurl   139   3 Replies

bio_man

A debt of $7000 accumulated interest at 9.5% compounded quarterly for 15 months, after which the ...

A debt of $7000 accumulated interest at 9.5% compounded quarterly for 15 months, after which the ...

[html]A debt of $7000 accumulated interest at 9.5% compounded quarterly for 15 months, after which the rate changed to 8.5% compounded semiannually for the next six months. What was the total amount owed at the end of the entire 21-month period?[/htm

jenny yehudai   121   3 Replies

bio_man

What rate of interest is required for $940.48 to earn $42.49 interest from Sept 30, 2013, to Mar 4,

What rate of interest is required for $940.48 to earn $42.49 interest from Sept 30, 2013, to Mar 4,

What rate of interest is required for $940.48 to earn $42.49 interest from Sept 30, 2013, to Mar 4, 2014?

Anonymous   81   1 Reply

bio_man

What principal will have a maturity value of $40 000.00 at 5.25% p.a. in 4 years?

What principal will have a maturity value of $40 000.00 at 5.25% p.a. in 4 years?

What principal will have a maturity value of $40 000.00 at 5.25% p.a. in 4 years?

Anonymous   69   1 Reply

bio_man

Last week April worked 44 hours. She is paid $11.20 per hour for a regular workweek of 40 hours and

Last week April worked 44 hours. She is paid $11.20 per hour for a regular workweek of 40 hours and

Last week April worked 44 hours. She is paid $11.20 per hour for a regular workweek of 40 hours and overtime at time and one-half regular pay.

What were April's gross wages for last week?

psyche verano   71   1 Reply

bio_man

A sales representative selling computer parts receives a commission of 3.5% on net sales up to $15 0

A sales representative selling computer parts receives a commission of 3.5% on net sales up to $15 0

A sales representative selling computer parts receives a commission of 3.5% on net sales up to $15 000.00, 7% on the next $6000.00, and 9% on any further sales. If his sales for a month were $34 250.00 and sales returns were $1055.00, what was

Anonymous   75   1 Reply

bio_man

Simplify: (20 - 15/15 + 5)

Simplify: (20 - 15/15 + 5)

Simplify: (20 - 15/15 + 5)

Anonymous   61   1 Reply

bio_man

At Upscale Corporation, direct selling expense amounted to $3500 while sales volume was $97 500 for

At Upscale Corporation, direct selling expense amounted to $3500 while sales volume was $97 500 for

At Upscale Corporation, direct selling expense amounted to $3500 while sales volume was $97 500 for last month. What is the ratio of direct selling expense to sales volume?

Anonymous   56   1 Reply

bio_man

The cost of a unit is made up of $120.00 direct material cost, $80.00 direct labour cost, and $20.00

The cost of a unit is made up of $120.00 direct material cost, $80.00 direct labour cost, and $20.00

The cost of a unit is made up of $120.00 direct material cost, $80.00 direct labour cost, and $20.00 overhead. What is the ratio that exists between the three elements of cost?

Anonymous   61   1 Reply

bio_man

$32 is what percent of $26?

$32 is what percent of $26?

$32 is what percent of $26?

Anonymous   59   1 Reply

bio_man

What is the rate percent if the base is 50 and the percentage is 35?

What is the rate percent if the base is 50 and the percentage is 35?

What is the rate percent if the base is 50 and the percentage is 35?

Anonymous   61   1 Reply

bio_man

Set up a ratio to represent the following: one-half of an hour to 18 minutes

Set up a ratio to represent the following: one-half of an hour to 18 minutes

Set up a ratio to represent the following:

one-half of an hour to 18 minutes

Anonymous   61   1 Reply

bio_man

Simplify: 9(8 - 5) + 5(6 + 4)

Simplify: 9(8 - 5) + 5(6 + 4)

 9(8 - 5) + 5(6 + 4)

Anonymous   64   1 Reply

bio_man

In order to encourage Canadians to avoid cross border shopping, Walmart Canada is striving to keep ...

In order to encourage Canadians to avoid cross border shopping, Walmart Canada is striving to keep ...

In order to encourage Canadians to avoid cross border shopping, Walmart Canada is striving to keep the price of electronics in Canada equivalent to the price of electronics in its US stores before taxes. If a TV is sold for $700 in US stores, what sh

Hillier   496   5 Replies

Mohamud Mahdi

A promissory note has a face value of $5175.00 and it has a date of issue of April 2 this year. The ...

A promissory note has a face value of $5175.00 and it has a date of issue of April 2 this year. The ...

A promissory note has a face value of $5175.00 and it has a date of issue of April 2 this year. The term is for 5 months. The rate of interest is 6.75%. What is the maturity value of the note?
A) $5324.30
B) $5234.30
C) $5342.30
D

gewusel   209   3 Replies

Supreme

Two payments of $49 000 each must be made 3 year and 5 year from now. If money can earn 4.9% ...

Two payments of $49 000 each must be made 3 year and 5 year from now. If money can earn 4.9% ...

Two payments of $49 000 each must be made 3 year and 5 year from now. If money can earn 4.9% compounded monthly, what single payment 3 years from now would be equivalent to the two scheduled payments?
A) $93 435
B) $98 000
C) $88 869

ikrabbe   176   3 Replies

josan

Jayelle took six courses last semester. Her grades and course credits are as follows: ...

Jayelle took six courses last semester. Her grades and course credits are as follows: ...

[html]Jayelle took six courses last semester. Her grades and course credits are as follows:

susu   124   3 Replies

angelord2510

Compare the economic values of $1480 today vs. $1515 in 150 days. Assume money can earn 6.75%. a) ...

Compare the economic values of $1480 today vs. $1515 in 150 days. Assume money can earn 6.75%. a) ...

Compare the economic values of $1480 today vs. $1515 in 150 days. Assume money can earn 6.75%. a) Which has the greater economic value? b) At what rate (to the nearest 0.01%) would the two amounts be equivalent?

meghan.binge   113   3 Replies

keeton1989

Peter and Reesa can book their Horizon Holiday package at the early-booking price of $3900, or wait ...

Peter and Reesa can book their Horizon Holiday package at the early-booking price of $3900, or wait ...

[html]Peter and Reesa can book their Horizon Holiday package at the early-booking price of $3900, or wait four months and pay the full price of $3995.a) Which option should they select if money can earn a 5.25% rate of return?b) To the

Jimmyhighroller   133   3 Replies

Ms Thickie

$890 interest was charged on $8900 borrowed on a simple interest basis for eight months. What was ...

$890 interest was charged on $8900 borrowed on a simple interest basis for eight months. What was ...

$890 interest was charged on $8900 borrowed on a simple interest basis for eight months. What was the interest rate per month on the loan?

spiderman13   155   3 Replies

OCboba

Payments of $1300 due five months ago and $1800 due three months from now are to be replaced by a ...

Payments of $1300 due five months ago and $1800 due three months from now are to be replaced by a ...

[html]Payments of $1300 due five months ago and $1800 due three months from now are to be replaced by a single payment at a focal date one month from now. What is the size of the replacement payment that would be equivalent to the two scheduled payme

wilcoxj49   120   3 Replies

Anonymous

How much will Clarence have to invest at the end of every year at 11% compounded annually if he is ...

How much will Clarence have to invest at the end of every year at 11% compounded annually if he is ...

How much will Clarence have to invest at the end of every year at 11% compounded annually if he is going to accumulate $25,000 in five years?

▸ $2,758.93

▸ $3,870.52

▸ $4,014.26

▸ $4,989.01

▸ $5,562.50

gyoku2302   157   3 Replies

Aldrich E

The evening news reports that the S&P/TSX Index dropped 0.9% on the day to close at 18,123 points. ...

The evening news reports that the S&P/TSX Index dropped 0.9% on the day to close at 18,123 points. ...

The evening news reports that the S&P/TSX Index dropped 0.9% on the day to close at 18,123 points. To the nearest point, how many points did the index fall?

Katseye   120   3 Replies

Anonymous

A $100,000, 90-day commercial paper certificate issued by Bell Canada Enterprises was sold on its ...

A $100,000, 90-day commercial paper certificate issued by Bell Canada Enterprises was sold on its ...

A $100,000, 90-day commercial paper certificate issued by Bell Canada Enterprises was sold on its issue date for $98,950. What annual rate of return (to the nearest 0.001%) will it yield to the buyer?

realgraverobb   135   3 Replies

maogin

A $100,000, 91-day Province of Ontario T-bill was purchased for $98,527.62. It was then sold for ...

A $100,000, 91-day Province of Ontario T-bill was purchased for $98,527.62. It was then sold for ...

A $100,000, 91-day Province of Ontario T-bill was purchased for $98,527.62. It was then sold for 4.8%. What profit was realized on the sale?

rhialways659   116   2 Replies

Anonymous