Answer:
- $450,000 at 10%
- $50,000 at 9%
Step-by-step explanation:
Let x represent the amount invested at 10%. Then the total interest earned per year is ...
0.10x + 0.09(500,000-x) = 49,500
0.01x = 49500 -45000
x = 4500/0.01 = 450,000
$450,000 was deposited in the 10% account; $50,000 was deposited in the 9% account.
It is called a long ton which is 2,240 pounds where a ton is 2,000 pounds.\
Answer:
(a;b)={(17; 64); (64; 17)}
Step-by-step explanation:
a+b=81 => b=81-a
a*b=1088
a*(81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
=> a=17 and a=64
for a=17 => b=81-17=64
for a=64 => b=81-64=17
(a;b)={(17; 64); (64; 17)}
Answer:
$199.50
Step-by-step explanation:
10% discount of $34 = 10/100*34 = $3.40
so, a single shirt costs $34-$3.40 = $30.60
half off = 50% discount of $31 = 50/100*31 = $15.50
so, a single cap costs $31-$15.50 = $15.50
so, 5 shirts and 3 caps cost now
5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50
but careful - can this be a trick question ?
the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).
then it would just plainly be
5*$34 + 3*$31 = $170 + $93 = $263
Answer: 2 1/4
Step-by-step explanation:
From the question, we are told that a recipe call for 3/4 c of chopped pecans
and that Brentt wants to triple the recipe .
The numerical expression that represents the amount of pecans he will need will be gotten by multiplying 3/4c by 3. This will be:
= 3 × 3/4c
= 9/4c
= 2 1/4