What is the simplified form of each expression?1.7m^2 + 6.5n - 4n + 2.5m^2 - n

Mathematics

1 answer:

Ulleksa [173]3 years ago

3 0

${4.2m}^{2} + 1.5n$

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Question 7

Natali5045456 [20]

To solve take circumference of the lamp shade( 2pi(r) or pi(d) ) so circumference is 12pi.
Then multiple by hight or altitude to get surface area ( circumference x height)
SA =72pi or ~226.19 in^2

If you are putting material on the top of lamp to, add pi(r)^2 or 36pi= ~113.10 in^2

4 0

3 years ago

Janie took out a loan for $4850 at a 13.8% APR, compounded monthly, to buy

Masteriza [31]

Answer:

The total payment Janie have to make is $5466 .

Step-by-step explanation:

Given as :

The loan principal = $4850

The rate of interest applied = 13.8% compounded monthly

Let The time period of loan = t years

The monthly payment she make = $455.50 each month

I.e She make payment for t years = $455.50 × n

where n is the number of terms

<u>From Compound Interest</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{12\times 100})^{12\times time}$

Or, $455.50 × n = $4850 × $(1+\dfrac{\textrm 13.8}{12\times 100})^{12\times time}$

Or, $\dfrac{455.50}{4850}$ × n = $(1.0115)^{12\times 1}$

Or, 0.0939 × n = $(1.0115)^{12}$

Or, 0.0939 × n = 1.14707

∴ n = $\dfrac{1.14707}{0.0939}$

I.e n = 12.21 ≈ 12

So, The number of terms Janie she will pay = 12

So, The total payment she have to make = $455.50 × 12 = $5466

Hence The total payment Janie have to make is $5466 . Answer

8 0

3 years ago

Read 2 more answers

A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d

lozanna [386]

$A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}$