Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.2: Use The Language Of Algebra
Problem 179E: Car insurance Justin’s car insurance has a $750 deductible per incident. This means that he pays...
Related questions
Question
![>
$2010
each question.
1. How much pure acid is in 250 mL of a 14% acid solution?
250 (14)
= 35
35 Liters
2. If $10,000 is invested for 1 yr at 3.5% simple interest, how much interest is earned?
I = 10,000 (0.035) (1) = 350
$350
3. What is the monetary value of 283 nickels?
283 (+05) = 14.15
14.15
B. Solve each problem.
4. How many liters of a 10% alcohol solution must be mixed with 40 L of a 50% solution to
obtain a 40% solution?
20=-3x+16
x (0-1) + 40 (0.5) =.40 (x+40)
=-3x
40x716
-·lk
0.1x + 20 =
--1x
3333
5. How many gallons of a fruit drink that is 50% real juice must be mixed with a fruit drink
that is 20% real juice to obtain 12 gal of a fruit drink that is 40% real juice?
-70x +2.4=480
-2.4 -2.4
7 = 477.6
79
-7
.50 x + 20 (12-x) = 12 (40)
• 50x+ 2.4 -- 20x = 480
4-201
+.20x
#6000
#9000
Amount
Invested (in
dollars)
X
X-2500
x =
1
6. Margaret won a prize for her work. She invested part of the money in a certificate of
deposit at 2% and $3000 more than that amount in a bond paying 3%. Her annual interest
income was $390. How much did Margaret invest at each rate?
amount
x +3000
Rate (as a
decimal)
rate
0.02
0.03
0.08
0.02
Due Date: August 23, 2023
-16
0.02x +0.03(x+3000)=390
0.02% 0.03x +90 = 390
0.05x + 90 = 390
-90
-91
0.05x=300
0.05x
7. Jamal had $2500, some of which he deposited in a mutual fund account paying 8%. The
rest he deposited in a money market account paying 2%. How much did he deposit in each
account if the total annual interest was $152?
Interest for One
Year (in dollars)
Interst peo fear
0.08x
0.02(x-2500)
53
-3
0.02x
-16
0.03(x+3000)
0.08 +0.02(x-2500) = 152
0.08x+0.02x-50=152
0.1x-50 = 152
+50 +50
0₁1x = 202
0.1x
0.1X
is earne
x=2020
luti
0.05k
X=600](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bbfc4c3-c526-4398-ae52-135263502ebb%2F13b4c176-90f8-49ef-9bb6-acd52646ebda%2Fwqik2bj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:>
$2010
each question.
1. How much pure acid is in 250 mL of a 14% acid solution?
250 (14)
= 35
35 Liters
2. If $10,000 is invested for 1 yr at 3.5% simple interest, how much interest is earned?
I = 10,000 (0.035) (1) = 350
$350
3. What is the monetary value of 283 nickels?
283 (+05) = 14.15
14.15
B. Solve each problem.
4. How many liters of a 10% alcohol solution must be mixed with 40 L of a 50% solution to
obtain a 40% solution?
20=-3x+16
x (0-1) + 40 (0.5) =.40 (x+40)
=-3x
40x716
-·lk
0.1x + 20 =
--1x
3333
5. How many gallons of a fruit drink that is 50% real juice must be mixed with a fruit drink
that is 20% real juice to obtain 12 gal of a fruit drink that is 40% real juice?
-70x +2.4=480
-2.4 -2.4
7 = 477.6
79
-7
.50 x + 20 (12-x) = 12 (40)
• 50x+ 2.4 -- 20x = 480
4-201
+.20x
#6000
#9000
Amount
Invested (in
dollars)
X
X-2500
x =
1
6. Margaret won a prize for her work. She invested part of the money in a certificate of
deposit at 2% and $3000 more than that amount in a bond paying 3%. Her annual interest
income was $390. How much did Margaret invest at each rate?
amount
x +3000
Rate (as a
decimal)
rate
0.02
0.03
0.08
0.02
Due Date: August 23, 2023
-16
0.02x +0.03(x+3000)=390
0.02% 0.03x +90 = 390
0.05x + 90 = 390
-90
-91
0.05x=300
0.05x
7. Jamal had $2500, some of which he deposited in a mutual fund account paying 8%. The
rest he deposited in a money market account paying 2%. How much did he deposit in each
account if the total annual interest was $152?
Interest for One
Year (in dollars)
Interst peo fear
0.08x
0.02(x-2500)
53
-3
0.02x
-16
0.03(x+3000)
0.08 +0.02(x-2500) = 152
0.08x+0.02x-50=152
0.1x-50 = 152
+50 +50
0₁1x = 202
0.1x
0.1X
is earne
x=2020
luti
0.05k
X=600
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